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1. Profit = Selling Price  Cost price
2. Selling Price = Cost Price + Profit
3. Cost Price = Selling Price  Profit
4. Loss = Cost Price  Selling Price
5. Selling Price = Cost Price  Loss
6. Cost price = Selling Price + Loss
Gain% =
(Gain/C.P)*100
Loss% = (Loss/C.P)*100
Loss% = (Loss/C.P)*100
7. Percentage profit / loss is always calculated on CP unless otherwise
stated.
8. Profit Percentage = (Profit x 100) / CP
9. Loss Percentage = (Loss x CP) / CP
10. Selling Price = {[(100+ Gain %) x CP] / 100}
11. Selling Price = {[100 Loss %) x CP] /100}
12. Cost Price = {(100 x SP) / (100+ Gain %)}
13. Cost Price = {(100 x SP) / (100  Loss %)}
14. If a man buys 'p' articles for 'a' rupees and sells 'q' articles for
'b' rupees. Then,
The % profit or loss = (p x b)  (q x a) / (a x q).
Note: If the Sign is +ve, there is gain. If the sign is ve, there is a
loss.
Eg : A trader buys oranges at 9 for Rs. 16 and sells them at 11 for Rs.
20. What does he gain or lose percent?
Ans: % profit or loss = [(9 x 20)  (16 x 11)]/ 16 x 11
= 2 3/11 %.
Since the sign is +ve, there is a gain of 2 3/11%.
15. If a shopkeeper sells his goods at x% loss on cost price but uses y
gm instead of z gm, then,
His % profit or loss = [(100  x) (z/y)]  100.
Eg: A dishonest trader sells goods at 6 ¼ % loss on cost price but uses
875 gm instead of 1 kg. What is his percentage profit or loss?
Ans: Profit or loss percentage = [(1006 ¼) (1000/875)]  100
= [(375/4) (8/7)]  100
= (107.1428) 100
= 7.1428 %
Since sign is +ve, there is a profit of 7.1428%.
16. If a shopkeeper sells his goods at x% profit on cost price but uses
y gm instead of z gm, then,
His % profit or loss = [(100 + x) (z/y)]  100.
Eg: A dishonest trader sells goods at 4 % gain on cost price but uses
840 gm instead of 1 kg. What is his percentage profit or loss?
Ans: Profit or loss percentage = [(100+4) (1000/840)]  100
= [123.8095]  100
= 23.8095%
Since sign is +ve, there is a profit of 7.1428%.
17. When two articles are sold at the same price such that there is a
Profit of x % on one article and a Loss of x% on the other. Then Percentage
Loss is:
= (Common profit or loss) 2 /100
= X2 /100
18. Marked Price or List Price is the price that is indicated or marked
on the product or it is the price, which is given in the price list. This is
the price at which the product is intended to be sold. However, there can be
some DISCOUNT given on this price and consequently, the actual Selling Price of
the product may be less than the Marked Price.
Selling Price = Marked Price  Discount.
19. Discount Percent = (Marked Price  Selling Price) x 100 / Marked
Price
20. If the successive discounts given on a product are p%, q% and r%,
then the selling price after all the discounts is:
= [Marked Price x (100p) (100q) (100r)]/ 100 x 100 x 100
21. If 'x' articles are purchased for 'p' rupees and 'y' articles are
sold for 'p' rupees. Then, Percentage profit / loss = (xy) / y.
22. If selling price of 'x' pens is equal to the cost price of 'y' pens.
Then profit percentage = (yx) x 100 / x
E.g 2: The selling price of 12 pens is equal to the cost price of 20
pens. Find the profit percentage?
Ans: Percentage profit = (20  12) / 20
= 8/20
= 66.66%.
E.g3: If 12 oranges are purchased for Rs. 100 and 10 oranges are sold
for Rs. 100. Find the percentage profit / loss ?
Ans: Percentage Profit = [(12  10) /10]x 100.
= (2 /10) x 100
= 20 %.
23. By using false weight, if a substance is sold at cost price the
overall gain % is given by [(100 + Gain %) / 100]. = True weight/ False weight.
24.
By selling an
article for Rs. X, a man loses l%. At what price should he sell it to gain
y%? (or)
A man lost l% by selling an
article for Rs. X. What percent shall he gain or lose by selling it for Rs. Y?
(100 – loss%) : 1^{st}
S.P. = (100 + gain%) : 2^{nd} S.P.
2. A man sold two articles for Rs. X each. On one he
gains y% while on the other he loses y%. How much does he gain or lose in the
whole transaction?
In such a
question, there is always a lose. The selling price is immaterial.
Formula for
loss %

3. A discount dealer professes to sell his goods at
cost price but uses a weight of 960 gms. For a kg weight. Find his gain
percent.
Formula: Gain
% =
13.C.P=S.P*[100/(100+g1)]*[100/(100+g2)]*[100/(100+g3]
14.S.P=C.P*[(100+g1)/100]*[(100+g2)/100]*[(100+g3)/100]
15.C.P = [(S.P1S.P2)/x2x1]*100
x1 > gain1 (or) loss1
x2 > gain2 (or) loss2
16.S.P=C.P + [(C.P*g)/100]
17.Overall gain or loss =(x1*g1)(x2*L1)+(x3*g3)
Where x1,x2,x3 > Parts of items sold
1.
When a Person sells two similar items, one at a gain of x% and
the other at a loss of x%, then the seller always incurs a loss of is :
Loss % = {(Common Loss and Gain %) / 10}^{ 2} = (x/10)^{2}
2.
When a Person buys two similar items, sells one at a gain of x%
and the other at a loss of x%, then the seller incurs no gain no loss
3.
If a trader profess to sell his goods at cost Price, But uses
false weights, then
Gain % = {(error)/ ((True
Value)(Error))}*100 %
Important Points to remember that:
§ Profit % and Loss % is fully
based on Cost Price alone.
Profit =10% i.e. 10% of Cost Price is Profit .This is the
meaning of 10% Profit.
§ Discount is fully based on
the Market Price/Retail Price/List Price.
Discount = 10% i.e. 10% on Market Price is Discount .This is the
meaning of 10% Discount.
§ Doubling the price and then
reducing it by 50% does not yield 50% profit – the net effect is
noprofitnoloss.
§ Successive discounts of 10%,
20% and 30% does not yield an overall 60% discount –the actual total is only
49.6%.
§ Successive discounts of 25%,
10% and 5% is not the same as successive discounts of 20%, 15% and 5% although
both add up to 40%. The actual total discounts are 35.875% and 35.4%
respectively.
§ A is 200% of B => A = 2B.
But A is 200% more of B = >A = 3B. Similarly, P is twice as old as Q =>
P’s age = 2 × Q’s age, but A is twice older than B = >A’s age = 3 × B’s age.
Example:
1.A man buys an article for Rs.27.50 and
sells it for Rs.28.60.Find his gain percent ?
Buys denotes the cost price , c.p = 27.50
Sells denotes the selling price, s.p = 28.60
For finding the profit % by two methods.
1.
find the profit and apply on (3) profit % formula
2.
Directly apply in 7 th formula.
Decide which is easy for you .
First method
Profit = 28.60 – 27.50 = 1.10
Profit % = (1.10 / 27.50)*100 = 4%
Second Method
60.
= ((100 + gain% )/100 }27.50
(28.60*100 )/27.50 = 100 + gain %
Gain % = 104100 = 4%
2. John bought a satellite radio for rs
4,000 and sold it at a loss of 5% due to unavoidable circumstances. Find his
Selling Price ?
Cost Price = 4000
Loss = 5 %
From the formula 7 ,we can get it
directly ,
Selling Price = rs3800.
Check with your answer
3.If the cost Price of two articles is
1000 each, one of them is sold at 10% profit and the other at 10% loss. Find
the percentage of profit or loss on the whole transaction ?
From formula 12 ,we can say directly No
Loss No Gain .Lets Check out,
Total Cost Price = Rs.2000.
Need to find the total Selling Price ,
By the Formula 7,
Selling Price of one article (10% profit) = 1100
By the Formula 8,
Selling Price of another article (10% loss) = 900
So the total selling price = 1100+900 =
Rs.2000.
Selling Price = Cost Price .So No Loss
No Gain in whole transaction.
4.If the Selling Price of two articles is 1000
each, sold one at 10% profit and the other at 10% loss. Find the percentage of
profit or loss on the whole transaction ?
From formula 11, we can say that loss % = (10/10)^{2}= 1%
Lets check out in another way ,
Total Selling Price = Rs.2000
By the Formula 7,
Cost Price of one article (sold at 10% profit) = 909.09
By the Formula 8,
Cost Price of another article (sold at 10% loss) = 1111.11
Total Cost Price = 909.09+1111.11 = Rs.2020.20
here C.P > S.P . So loss incurs in
whole transaction.
Loss % = {(2020.20 – 2000 )/ 2020.20 }*100 = 1.00%
We have verified the answer in both the
way. So we can use formula directly
5. The selling price of 15 chairs is
equals to the cost price of 20 chairs. Find the Profit or Loss % ?
Given, S.P of 15 chairs = C.P of 20 chairs.
From the above eqn we can conclude that
we can get profit. Because Selling 15 chair itself we will get the total cost
of the 20 chairs. So we get the profit of selling 5 chairs.
First method,
Using Profit% formula we can find the answer,
Profit% = (Profit/ Cost Price )*100
Profit % = {(S.P of 5 chairs)/(S.P of 15 chairs or C.P of 20
chairs) }*100
Profit % = (5/15)* 100 = 33.33%
Second method,
Let we take cost price be Rs 1,selling price be Rs x.
from the eqn, we can write 15x = 20 ; x = Rs. 1.3333
S.P > C.P , So we will get profit only. Profit = 1.3333 –
1.00 = Rs. 0.3333
Profit % = (0.3333/1 )*100 =33.33%
Third method,
Let we take cost price be ‘rs x’ and selling price be ‘rs y’. We
can do this way also. Try this method
Examples
1. If a man buys a pen
for Rs.25 and sells it for Rs.30, then he makes a Profit of 30 – 25 = Rs.5.
2. If a man buys a pen for
Rs.25 and sells it for Rs.20, then he makes a Loss of 25 – 20 = Rs.5.
3. A man buys a pen
for Rs.25 and sells it for Rs.30, then his gain% =
4. A man buys a pen for
Rs.25 and sells it for Rs.20, then loss% =
5. A fruit seller purchases oranges at the rate of 3 for Rs 5
and selIs them at 2 for Rs 4. His profit in the transaction is
Sol:
Let number of iranges = LCM of 2,3,4,5 = 60
cost price of 60 oranges = (5/3 * 60) = 100
sell price of 60 oranges = (4/2 * 60) = 120
profit % = 20%
sell price of 60 oranges = (4/2 * 60) = 120
profit % = 20%
6. There would be 10% loss if a toy is sold at Rs 10.80 per
piece. At what price should it be sold to earn a profit of 20%
Sol:
90:10.80 = 120:x or 90/10.80 = 120/x
x = (120 * 10.80)/90 = 14.4 hence SP = 14.4
x = (120 * 10.80)/90 = 14.4 hence SP = 14.4
7. A producer of tea blends two varieties of tea from two tea
gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3.
If he sells the blended variety at Rs 21 per kg, then his gain percent is
Sol:
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Sell price = Rs. (8 x 21) = Rs. 168.
profit % = (18/150) * 100 = 12%
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Sell price = Rs. (8 x 21) = Rs. 168.
profit % = (18/150) * 100 = 12%
8. A
person bought 20 liters of milk at the rate of Rs 8 per liter. He got it
churned after spending Rs 10 and got 5 kg of cream and 20 liters of toned milk.
If he sold the cream at Rs. 30 per kg and toned milk at Rs 4 per liter, his
profit in the transaction
Sol:
Investment Rs. (20*8 + 10) = Rs. 170.
Receipt = Rs. (30*5 + 20*4) = Rs. 230.
profit %=[(60/170) * 100] % = 35.29% = 35.3%.
Receipt = Rs. (30*5 + 20*4) = Rs. 230.
profit %=[(60/170) * 100] % = 35.29% = 35.3%.
9. A dealer
sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the
other, he gained 10%. His gain or loss percent in the entire transaction was
Loss%=
(common gain or loss % / 10)^{2} = (10/10)² % = 1%.
If the cost price of 12 tables is
equal to the selling price of 16 tables, the loss percent
Cost
price of 1 table = 1
cost price of 16 table = 16
sell price 16 table = 12
Loss = (4/16)*100 = 25%
cost price of 16 table = 16
sell price 16 table = 12
Loss = (4/16)*100 = 25%
10. A shopkeeper sold an article for Rs 2564.36. Approximately what
was his profit percent if the cost price of the article was Rs 2400
Sol:
Gain % = (164.36*100/2400) = 6.84% = 7% approx
11.Vilcas bought paper sheets for Rs 7200 and spent Rs 200 on
transport. Paying Rs 600, he had 330 boxes made, which he sold at Rs 28 each.
His profit percentage is :
Sol:
Total investment = Rs. (7200+200+ 600) Rs. 8000.
Total receipt Rs. (330 x 28) = Rs. 9240.
profit % = [1240/8000] * 100 = 15.5
Total receipt Rs. (330 x 28) = Rs. 9240.
profit % = [1240/8000] * 100 = 15.5
12. By selling 45 lemons for Rs 40, a man loses 20 %. How many
should he sell for Rs 24 to gain. 20 % in the transaction?
Let
S.P. of 45 lemons is Rs. x.
80 : 40 = 120 : x or 80/40 = 120/x or x = 40 * 120 / 80 = 60
lemons sold For Rs. 60, = 45
lemons sold For Rs. 24, = (45/60) * 24= 18.
80 : 40 = 120 : x or 80/40 = 120/x or x = 40 * 120 / 80 = 60
lemons sold For Rs. 60, = 45
lemons sold For Rs. 24, = (45/60) * 24= 18.
13. If books bought at prices ranging
from Rs 200 to Rs 350 are sold at prices ranging from Rs 300 to Rs 425, what is
the greatest possible profit that might be made in selling eight books.
Sol:
Let cost price = 200*8 = 1600
greatest price = 425 * 8 = 3400
profit required 3400 1600 = 1800
greatest price = 425 * 8 = 3400
profit required 3400 1600 = 1800
14. A man bought a number of oranges at 3 for a rupee and an
equal number at 2 for a rupee. At what price per dozen should he sell them to
make a profit of 20 %
Sol:
let us assume he bought 12 oranges of each kind CP of 2 dozen(12*2) = ((1/3)
*12) + (1/2) * 12) = 10
profit = 20%
sp of 2 dozen = 120% of 10 = 12
sp per dozen = 6
profit = 20%
sp of 2 dozen = 120% of 10 = 12
sp per dozen = 6
15. when a commodity is sold for Rs 34.80, there is a loss of
25%. What is the cost price of the commodity?.
Sol:
sell price = 34.80 loss = 25%
cost price = (100*34.80 / 75) = 46.40
cost price = (100*34.80 / 75) = 46.40
16. By mixing two qualities of pulses in the ratio 2: 3 and
selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a
profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost
per kg of the larger quantity is:
Sol:
Cost Price of 5 kg = Rs.(14*2 + x*3) = (28 + 3x).
Sell price of 5 kg = Rs. (22x5) = Rs. 110.
(110  (28 + 3x)/(28 + 3x)) * 100 = 823x/28 + 3x = 1 / 10
820  30x = 28 +3x ; 33x = 792 ; x = 24
Sell price of 5 kg = Rs. (22x5) = Rs. 110.
(110  (28 + 3x)/(28 + 3x)) * 100 = 823x/28 + 3x = 1 / 10
820  30x = 28 +3x ; 33x = 792 ; x = 24
17.A retailer buys
a radio for Rs 225. His overhead expenses are Rs 15. He sell the radio for Rs 300. The profit percent of
the retailer is:.
Sol;
cost price = (225 + 15) = 240 sell price = 300
gain = (60/240)*100 = 25%
gain = (60/240)*100 = 25%
18.A man bought an article and sold it at a gain of 5 %. If he
had bought it at 5% less and sold it for Re 1 less, he would have made a profit
of 10%. The C.P. of the article was:.
Sol:
let original cost price is x its cost price = 105/100 * x = 21x/20
New Cost price = 95/100 * x = 19x/20 new Sell price = 110/100 * 19x/20 = 209x/200
[(21x/20)  (209x/200)] = 1 or x = 200
New Cost price = 95/100 * x = 19x/20 new Sell price = 110/100 * 19x/20 = 209x/200
[(21x/20)  (209x/200)] = 1 or x = 200
19.A horse and a cow were sold for Rs. 12000 each. The horse was
sold at a loss ot 20% and the cow nt gain ot 20% 1 he entire transaction resulted
in.
Sol:
Total S.P. Rs, 24000.
C.P. of horse =Rs. [(100/80) x 12000] = 15000.
C.P. of cow = Rs.[(100/120) x 12000] = 10000
Total C.P. = Rs. 25000.
profit = Rs. (25000—24000) Rs 1000.
C.P. of horse =Rs. [(100/80) x 12000] = 15000.
C.P. of cow = Rs.[(100/120) x 12000] = 10000
Total C.P. = Rs. 25000.
profit = Rs. (25000—24000) Rs 1000.
20.A man buys oranges at Rs 5 a dozen and an equal number at Rs
4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How
many oranges does he buy
Sol
: Cost Price of 2 dozen oranges Rs. (5 + 4) = Rs. 9.
Sell price of 2 dozen oranges = Rs. 11.
If profit is Rs 2, oranges bought = 2 dozen.
If profit is Rs. 50, oranges bought = (2/2) * 50 dozens = 50 doze
Sell price of 2 dozen oranges = Rs. 11.
If profit is Rs 2, oranges bought = 2 dozen.
If profit is Rs. 50, oranges bought = (2/2) * 50 dozens = 50 doze
21.A shopkeeper bought an article for Rs 319.60. Approximately,
at what price should he sell the article to make 25% profit?
Sol:
sell price = 125% of 319.60 = (125/100) * 319.60 = 399.50 = 400 Rs
22. Bhajan Singh purchased 120 reams of paper at Rs 80 per ream. He spent
Rs 280 on transportation, paid octroi at the rate of 40 paisa per ream and paid
Rs 72 to the coolie. If he wants to have a gain of 8 %, what must be the
selling price per ream?
Sol:
Total investment = Rs. (120 * 80 + 280 + (40/100) * 120 + 72).
= Rs. (9600 + 280+48 + 72) = Rs, 10000.
Sell price of 120 reams = 108% of Rs. 10000 = Rs. 10800.
Sell Price per ream = Rs. [10800/120] = Rs. 90.
= Rs. (9600 + 280+48 + 72) = Rs, 10000.
Sell price of 120 reams = 108% of Rs. 10000 = Rs. 10800.
Sell Price per ream = Rs. [10800/120] = Rs. 90.
23.A
sells a bicycle to B at a profit of 20 % and B sells it to C at a profit of 25
%. If C pays Rs 1500, what did A pay for it ?.
Sol:
125% of 120% of A = 1500
[(125/100) * (120/100)*A]= 1500.
A=[1500*(2/3)]= 1000.
[(125/100) * (120/100)*A]= 1500.
A=[1500*(2/3)]= 1000.
24.A man sold 250
chairs and had a gain equal to selling price of 50 chairs. His profit percent
is
Sol:
sell price of 200 chairs = cost price of 250 chairs
let cost price of each chair is Rs 1
cost price of 200 chairs = 200
sell price of 200 chairs = 250
gain % = (50/200*100) = 25%
(since; gain = sp of 250 chairs  cost price of 250chairs hence sp of 250 chairs  cost price of 250 chairs = SP of 50 chairs)
let cost price of each chair is Rs 1
cost price of 200 chairs = 200
sell price of 200 chairs = 250
gain % = (50/200*100) = 25%
(since; gain = sp of 250 chairs  cost price of 250chairs hence sp of 250 chairs  cost price of 250 chairs = SP of 50 chairs)
25. Ajay bought 15 kg of dal at the rate of
Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and
sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction?
Sol:
Cost price of 25 kg = Rs. (15 x 14.50 + lOx 13) = Rs. 347.50.
Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.
profit = Rs. (375 — 347.50) = Rs. 27.50.
Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.
profit = Rs. (375 — 347.50) = Rs. 27.50.
26. Raghu
bought 4 dozen oranges at Rs 12 per dozen and 2 dozen oranges at Rs 16 per
dozen. He sold them all to earn 20% profit. At what price per dozen did he sell
the oranges?.
Sol:
Total CP = (12*4 + 16 *2) = 80
SP of 6 dozen oranges = [(120/100 )* 80)] = 96
sell price per dozen =16
SP of 6 dozen oranges = [(120/100 )* 80)] = 96
sell price per dozen =16
27.Two
mixers and one T.V. cost Rs. 7000, while two T.V.s and a mixer cost Rs, 9800.
The value of one T.V. is:.
Sol: Let C.P. of a mixer be Rs. x and that of a T,V. be Rs.
y.
Then, 2x + y = 7000 and 2y + x = 9800.
Multiplying 2nd equatien by 2 and subtracting first from it, we get
3y = 19600  7000 = 12600 or y = 4200 C.P. of a T.V. = Rs. 4200
Then, 2x + y = 7000 and 2y + x = 9800.
Multiplying 2nd equatien by 2 and subtracting first from it, we get
3y = 19600  7000 = 12600 or y = 4200 C.P. of a T.V. = Rs. 4200
28.Rahim buys mangoes at the rate of 3 kg for Rs 21 and sells
them at 5 kg for Rs 50. To earn Rs 102 as profit, he must sell
Sol:
rate of buying = 7; rate of selling = 10 to gain 3 Rs he must buy 1 kg
for 102 profit he must buy = (102/3) = 34
for 102 profit he must buy = (102/3) = 34
29.If the manufacturer gains 10 %, the wholesale dealer 15 % and
the retailer 25 %, then the cost of production of a table, the retail price of
which is Rs 1265 was
Sol: 125 % of 115% of 110% ofP= 1265.
[(125/100)*(115/100)*(110/100)]P = 1265 hence (253/160)p= 1265
P = (1265 * 160)/253 = 800
[(125/100)*(115/100)*(110/100)]P = 1265 hence (253/160)p= 1265
P = (1265 * 160)/253 = 800
30.A man sells two houses at the rate of Rs. 1.995 lakh each. On
one he gains 5% and on the other, he loses 5%. His gain or loss percent in the
whole transaction Is :.
Sol:
Loss%= (common gain or loss % / 10)^{2} = (5/10)² % = 0.25%.
31. An article when sold at a gain of 5% yields Rs 15 more than
when sold at a loss of 5%. What is the C.P..
Let
the CP is x then [(105x/100 )  (95x/100)] = 15 or x = 150
32. If by selling 110 mangoes, the C.P. of 120 mangoes is
realised, the gain percentage is
Sol:


Let C.P. of each mango be Re. 1.


C.P. of 110 mangoes = Rs. 110; S.P. of 110 mangoes = Rs.
120.



33. The ratio
of the cost price and the selling price is 4 : 5. The profit percent is :
Sol:


Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x. Gain
= Rs. (5x  4x) = Rs. x.



34.
A man buys an article for 10% less than its value and sells it for 10% more
than its value. His gain or loss percent is :
Sol: Let the article be worth Rs. x.








35. A sells an article
which costs him Rs. 400 to B at a profit of 20%. B then sells it to C, making a
profit of 10% on the price he paid to A. How much does C pay B?



36.Jacob
bought a scooter for a certain sum of money. He spent 10% of the cost on
repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on
repairs if he made a profit of 20%?
Sol: Let the C.P. be Rs. x. Then, 20% of x =
1100






C.P. = Rs. 5500, Expenditure on repairs = 10%.





37.Some articles were
bought at 6 for Rs. 5 and sold at 5 for Rs. 6. Gain percent is
Sol: Suppose, number of articles bought = L.C.M. of 6 and
5 = 30.






38. In a certain store, the profit is 320% of the cost. If the
cost increases by 25% but the selling price remains constant, approximately
what percentage of the selling price is the profit ?
40.A vendor loses the selling price of 4
oranges on selling 36 oranges, His loss percent is : Sol:
41. By selling a pen for Rs. 15, a man
loses onesixteenth of what it costs him. The cost price of the pen is :
42.A vendor
bought toffees at 6 for a rupee. How many for a rupee must he sell to gain
20%?
43. A man buys eggs
at 2 for Re. 1 and an equal number at 3 for Rs. 2 and sells the whole at 5
for Rs. 3. His gain or loss percent is:
44. A grocer sells rice at a profit of
10% and uses weights which are 20% less than the market weight. The total
gain earned by him will be :
45. Profit earned by selling an article for Rs. 1060 is 20%
more than the loss incurred by selling the article for Rs. 950. At what price
should the article be sold to earn 20% profit?
46.The cash difference between the
selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of
the two selling prices is :
47.A shopkeeper purchased 70 kg of
potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg.
What will be his gain percentage?
49.A cloth
merchant sold half of his cloth at 20% profit, half of the remaining at 20%
loss and the rest was sold at the cost price. In the total transaction, his
gain or loss will be:
50. The cost price
of 19 articles is equal to the selling price of 16 articles. Gain percentage
is :
51.An article when sold at a again of 5% yields Rs. 15 more
than when sold at a loss of 5%. Its cost price would be:
52. By mixing two brands of tea and
selling the mixture at the rate of Rs. 177 per kg, a shopkeeper makes a
profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of
the other brand is added, then how much per kg does the other brand cost?
53.A fruit
seller sells mangoes at the rate of Rs. 9 per kg and thereby loses 20%. At
what price per kg, he should have sold them to make a profit of 5%
Sol:
54.At what profit percent must an article be sold so that by
selling at half that price,
there may be a loss of 30%?
55.If on selling 12 notebooks, a seller
makes a profit equal to the selling price of 4 notebooks, what is his percent
profit?
56.A trader buys a chair for Rs. 600 and sells it for Rs. 765
at a credit of 4 months. Reckoning money worth 6% p.a., his gain percent is:
57. On an order of 5 dozen boxes of
a consumer product, a retainer receives an extra dozen free. This is
equivalent to allowing him a discount of :
58. 100 oranges are bought at the
rate of Rs. 350 and sold at the rate of Rs. 48 per dozen.The percentage of
profit or loss is :

Sol:






59. The profit earned by selling an
article for Rs. 900 is double the loss incurred when the same article is sold
for Rs. 450. At what price should the article be sold to make 25% profit?



60.A dishonest dealer
uses a scale of 90 cm instead of a metre scale and claims to sell at cost
price. His Profit is :


61.By selling an article
for Rs. 100, a man gains Rs. 15. Then, his gain% is:
S.P. = Rs. 100, gain = Rs. 15.






62.A man gains 20% by selling an article
for a certain price. If he sells it at double the price, the percentage of
profit will be







63.The difference
between the cost price and sale price of an article is Rs. 240. If the profit
is 20%, the selling price is :
Let the C.P. be Rs. x.








64.10% loss on selling price is what
percent loss on the cost price?


Let S.P. = Rs. 100. Then, Loss = Rs. 10, C.P. = Rs. (100 +
10) = Rs. 110.



65.A shopkeeper sold an
article for Rs. 2090.42. Approximately, what will be the percentage profit if
he sold that article for Rs. 2602.58?
Profit = Rs. (2602.58  2090.42) = Rs. 512.16



66.A man purchased a box full of pencils at the rate of 7 for Rs. 9 and
sold all of them at the rate of 8 for Rs. 11. In this transaction, he gained
Rs. 10. How many pencils did the box contain?
Suppose, number of pencils bought = L.C.M. of 7 and 8 =
56.




Now, Rs. 5 are gained on 56 pencils.




67.If
books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices
ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that
might be made in selling eight books?
Least C.P. = Rs. (200 x 8) = Rs. 1600.

Greatest S.P. = Rs. (425 x 8) = Rs. 3400.

Required profit = Rs. (3400 – 1600) = Rs. 1800.

68.A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and
another for Rs. 960 at a loss of 4%. His total gain or loss percent is :




So, total C.P. = Rs. (700 + 1000) = Rs. 1700.


Total S.P. = Rs. (840 + 960) = Rs. 1800.



69. A house worth Rs.
1,50,000 is sold by X to Y at 5% profit. Y sells the house back to X at 2%
loss. Then, in the entire transaction:
Money spent by X = Rs. 150000.


Money received by X = 105% of Rs. 150000 = Rs. 157500


C.P. to X = 98% of Rs. 157500 = Rs. 154350.




70. If 5% more is gained by selling an
article for Rs. 350 than by selling it for Rs. 340, the cost of the article
is :




71.A man bought apples at the rate of 8
for Rs. 34 and sold them at the rate of 12 for Rs. 57. How many apples should
be sold to earn a net profit of Rs. 45




Profit on each apple = Re. 0.50.



72. Arun purchased 30 kg
of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of Rs.
14.25 per kg. He mixed the two and sold the mixture. Approximately what price
per kg should he sell the mixture to make 30% profit?
C.P. of 50 kg wheat = Rs. (30 x 11.50 + 20 x 14.25) = Rs.
(345 + 285) = Rs. 630






21. If 'x' articles are purchased for 'p' rupees and 'y' articles are sold for 'p' rupees. Then, Percentage profit / loss = (xy) / y.
ReplyDelete22. If selling price of 'x' pens is equal to the cost price of 'y' pens. Then profit percentage = (yx) x 100 / x
E.g 2: The selling price of 12 pens is equal to the cost price of 20 pens. Find the profit percentage?
Ans: Percentage profit = (20  12) / 20
= 8/20
= 66.66%.
E.g3: If 12 oranges are purchased for Rs. 100 and 10 oranges are sold for Rs. 100. Find the percentage profit / loss ?
Ans: Percentage Profit = [(12  10) /10]x 100.
= (2 /10) x 100
= 20 %. In this Below 22nd The example2 is solved by the formula of 21st (xy)/y and example3 is solved by the formula of 22nd (yx)/x x 100/x,But the question pattern of example3 is in 21st type so which one is correct??? Whether formula is written wrongly or solved wrongly please tell ????