PROFIT & LOSS
1. Cost of 3 cricket balls = cost of 2 pairs of leg pads
cost of 3 pairs
of leg pads = cost of 2 pars of gloves
cost of 3 pairs of gloves=cost of 2 cricket bat
if a cricket bat costs Rs.54, what is the cost of a
cricket ball?
Ans Rs.16
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Let us assume
Cricket balls = A ; Leg pads = B ; Gloves = C ;
Cricket bat = D
Answer with
Explanation:
3A = 2 B 
B = 
A
B = A
3B = 2 C C = B
C = B
=
(A)
(A)
C = 
A
A
3C = 2 D D = C
D = C
= ( A )
( A )
D
= 
A
A
D = 54 54 =
A
54 =
A
A = 16
2. If by selling an article for RS.100, a man gains
Rs.15 then his gain percent is
Ans
17 11/17%
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price = selling price - profit
Answer with
Explanation:
Step
: 1
Cost
price = selling price - profit
= 100 – 15 = 85
Profit per cent = 
x 100
= 300 / 17
= 17 
%
%
3. What is the loss percent if a man loses Rs.10 on
selling and article for Rs.100?
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price = selling price + loss
Answer with
Explanation:
Step
: 1
Cost price = selling price + loss
= 100 + 10
= 110
Step : 2
Loss per cent = 
x 100
x 100
= 
= 9 
%
%
4. 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?
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price + Profit = selling price
Answer with
Explanation:
Cost price is 2400
Profit is X%
ie. 2400 + 2400 x 1/100 x X = 2564.36
2400 + 24x =
2564.36
24x = 2564.36 –
2400
X = 164.36 /
24
= 6.848
Approximately 7 %
5. A man sold an article for Rs.247.50, thereby gaining
12 ½% . The cost of the article was. Rs.220
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price + Profit = Selling price
Answer with
Explanation:
Let us assume cost price is x
X + X x 25/2 x 1/100 = 247.50
X + 25x/200 = 247.50 (taking LCM)
200x + 25x = 247.50 x 200
225x = 49500
X = 49500 / 225
X = 220
The cost price is Rs. 220/-
6. A retailer buys a radio for Rs.225. His overhead expenses are Rs.15 he sells the
radio for Rs.300. The profit percent of the retailer is ……….Ans25
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price + profit = selling price
Answer with
Explanation:
Cost price = 225 + 15 = 240
Ie., 240 + X x 240 x 1/100 = 300
240 + 
= 300
= 300
(taking
LCM)
2400 + 24x = 3000
24x = 3000 – 2400
24x = 600
X = 600/24
X = 25.
7. A shopkeeper bought an article for Rs.319.60. Approximately at what price should he sell
the article to make 25% profit ans Rs.400
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Assume cost = 100
Profit = 25 / 125
100 125
125
319.60 = ?
399.5 400 approximately.
8. If the selling price of an article is 4/3 times its
cost price, the profit percent is ans…. 33 1/3
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Cost price = selling price – profit
Let cost price is x and selling price is 4/3 x
Ie., profit = selling price – cost
price
=
- x
- x
=
x/3
Profit % = 
= 
=
= 
x 
x
=
= 33 
%
= 33 %
9. There would be 10% loss if a to is sold at RS.10.80
per piece. At what price should it be sold to earn a profit of 20% ans…Rs.14.40
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Step
: 1
Assume
cost = 100 Assume
cost = 100
Loss
= 10 / 90 profit
= 20 = 120 = ?
90
10.80
10.80
120
= ?
= 14.40
10.
By selling an
article for Rs.19.50 a dealer makes a profit of 30% by how much should he
increase his selling price so as to make a profit of 40% an ….Rs.1.50
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Step : 1
Assume cost = 100 Assume
cost = 100
Profit =30 =
130 profit
= 40 = 140 = ?
130 = 19.5
140 = ?
= 21
Ie. Selling price = 21 – 19.5
= Rs.
1.5
11.
Rahim buys
mangoes at the rate of 3kg for Rs.21 and sells them at 5kg for Rs.50. To earn
Rs.102 as profit, he must sell. Ans 34kg
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Cost :
3
kg Mangoes Rs. 21 1 kg = Rs. 7
1 kg = Rs. 7
Selling Cost:
5
kg = 50 1 kg = 10
1 kg = 10
Difference for 1 kg is (10-7) = 3
1
kg = Rs.3
?
= Rs.102
102 / 3 = 34 kg
12.
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 ? ans Rs.1800
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
profit = selling price – cost price
Answer with
Explanation:
Let us consider all the eight books
are bought at least cost
200
x 8 = 1600
Selling at the highest price
425
x 8 = 3400
Profit = selling price
– cost price
= 3400 - 1600 = 1800
13.
The cost price of
20 articles is the same as selling price of 15 articles. The profit percent in
the transaction is ans : 33 1/3
Difficulty Level : Easy Moderately easy
Difficult
Basic
Formula:
Answer with
Explanation:
x 100
x 100 = 100/3
= 33 1/3 %
14.
A man sells 320
mangoes at the cost price of 400 mangoes. His gain perecent is Ans, 25%
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Gain
percentage = profit / cost price x 100
Answer with
Explanation:
400
– 320 = 80
x 100 = 25 %
15.
If the cost price
of 12 tables is equal to the selling price of 16 tables, the loss percent is
ans 25%
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
x 100
Result is +ve = we get a profit
Result is –ve = we get a loss
Answer with
Explanation:
x 100
x 100 = -25%
= 25% loss.
16.
If the selling
price of 18 articles is equal to the CP of 21 articles the loss or gain percent
ans: 16 2/3 % loss
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
x 100
Result is +ve = we get a profit
Result is –ve = we get a loss
Answer with
Explanation:
X 100
X 100
100
/ 6 = 50/3
= 16
2/3 % profit
17.
If by selling 100
mangoes the CP of 120 mangoes is realized the gain percent is ans 6 1/11%
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Let cost price of each Mango be Re.1
Cost price of 120 Mangoes is Rs. 120
Selling price of 100 Mangoes is rs.
100
Gain is = 20/100 x 100
= 20%
18.
By selling a pen
for Rs.15, a man loses one sixteenth of what it costs him. The cost of the pen
is Rs.16
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with
Explanation:
Let
us assume cost price is x
Ie.,
x – 15 = 
x
x
X
– 15 - 
X
- = 15
= 15
= 15
= 15
X
= 
X
= 16
19.
By selling an
article, sheetal earned a profit equal to 1/4th of the price he
bought it. If he sold it for Rs.375 what was the cost price ans RS.300
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Selling
price = cost price + profit
Answer with
Explanation:
Let us cost price is x
375 = x + 
x
x
375 = 
375 = 
= x
X = 300
The cost price is Rs. 300
20.
A shopkeeper on
selling a pen for Rs.10, loses 1/11 of what it costs him. His cost price is ans
11.
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Loss = Cost price – selling price
Answer with
Explanation:
Given : Loss is of Cost Price
of Cost Price CP = CP – 10
10 = CP - CP
CP
10 = 
10 = 
CP 
= CP
10 = CP = CP
Cost Price = 11
21.
A fruit seller
purchases oranges at the rate of 3 for Rs.5 and sells them at 2 for Rs.4. His
profit in the transaction is ans 20%
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
22.
If I purchased 11
books for Rs.10 and sold all the books at the rate of 10 books for Rs.11, the
profit percent is ans 21%
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
23.
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 be sell them to make a profit of 20%?
Answer:
Rs.6
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
24.
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 per cent is ?
Answer
: 2 6/7% gain
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
25.
Ajay bought 15 kg
os dhal at the rate of Rs.14.50 per kg and 10kg 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? Answer :Rs. 27.50
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
15 
14.50
14.50
10 13
13
The difference rate is
15 (15 – 14.50) 15 x 0.50 = 7.5
15 x 0.50 = 7.5
10 (15 – 13) 10 x 2 = 20.0
10 x 2 = 20.0
Total = 27.5
Answer = Rs.
27.50
By mixing two qualities of pulses in the ratio 2:3 and
selling the mixture at the rate of Rs.22 per kg 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 large quantity is ?
Answer
: Rs 24
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
26.
Toffees are
bought at the rate of 3 for a rupee. To gain 50% they must be sold at?
Answer
: 2 for a Rupee
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price + profit = Selling Price
Answer with
Explanation:
Let 3 toffees cost price is Re.1
Ie. 1 toffee cost price is 1/3
Ie., 1/3 + 1/3 x 50% = x
+ x 50 x 
= x + 
= x
= x
X = 
2 toffees for a rupee.
The
cost price of 12 article is same as selling
price of 9 articles. Then find the Gain Percentage?
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Gain
Percentage = Profit / cost price x 100
Answer with
Explanation:
x 100
3/9 x 100
100/3
= 33 1/3
Alfred buys an old scooter for Rs.4700 and spends
Rs.800 on its repairs. If he sells the scooter for Rs.5800, his gain percent is
?
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Profit Percentage = Profit / cost price x 100
Answer with
Explanation:
Cost price = 4700 +800 =
5500
Profit = 5800 – 5500 = 300
Profit percentage = 300
/ 5500 x 100
= 5.45%
27.
When a plot is sold for Rs. 18,700, the owner
loses 15%. At what price must the plot be sold in order to gain 15%?
Answer
: Rs. 25,300
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Step : 1
Assume cost = 100 Assume
Cost = 100
Loss = 15 = 85 gain = 15
= 115
Sold for Rs. 18,700
85 18700
18700
85 = 18,700 115
= ?
To find : 115 = ?
85x = 115 x 18,700
X = 
X= 25300
If selling price is doubled, the
profit triples. Find the profit percent
Answer
: 100
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Answer
: Rs. 2000
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
28.
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?
Answer
: 90
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
To find cost price per apple:
8 apples = Rs. 34
1 apple = Rs. 4.25
Selling price per apple:
12 apples = Rs. 57
1 apple = Rs. 4.75
Profit per apple = selling price –
cost price
4.75
– 4.25 = .50
Therefore X x 0.50 = 45
X = Rs. 90
29.
A man bought some
oranges at Rs.10 per dozen and bought the same number of oranges at Rs.8 per
dozen. He sold these oranges at Rs.11 per dozen and gained Rs. 120. The total
number of oranges bought by him was :
Answer
: 60 dozens
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Cost price :
1 dozen oranges = Rs. 10
1 dozen oranges = Rs. 8
2 dozen oranges = Rs. 18
1 dozen oranges = Rs. 9
Selling price:
1 dozen oranges = Rs. 11
Profit per dozen is Rs. 2
Therefore x dozen x profit = Rs. 120
x = 120/2
X = 60 dozen
39. A sells a bicycle to B at a profit of 20%. B sells
it to C at a profit of 25%. If C pays Rs.225 for it, the cost price of the
bicycle for A is:
Rs.110
Rs.120
Rs.125 Rs.150Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Selling price for 8 is Rs. 225
Cost price + profit = 225
X + 
= 225
= 225
X = 180
Cost price of 8 is 180
Selling price of a is 180
Cost price + profit = 180
Y + 
= 180
= 180
Y = 150
The cost price of A is Rs. 150/-
40. 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:
Rs.50
Rs.160
Rs.200
Rs.225
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price + profit = selling price
X = Cost price
Y = Profit
Answer with
Explanation:
X + 
= 340 100x +xy = 34000
= 340 100x +xy = 34000
X + 
= 350 105x +xy = 35000 (-)
= 350 105x +xy = 35000 (-)
-5
x = - 1000
X = 200
41. Hemant sold 10 sarees for a total profit of Rs.460
and 12 sarees for a total profit of Rs.144. At what profit per saree should he sell
the remaining 20 sarees so that he gets an average profit of Rs.18 per saree?
Rs.7.40
Rs.7.60
Rs.7.80 Rs.8Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
42. What is the selling price of a
car? If the cost of the car is Rs. 60 and a profit of 10% over selling price is
earned?
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price + profit = Selling Price
Answer with
Explanation:
Cost price is Rs. 60
Profit is 10% of Cost Price
x 60 = 6
Selling
Price = CP + Profit
= 60 + 6 = 66
SP is Rs. 66
43. The cost of an item is Rs. 12.60.
If the profit is 10% over selling price what is the selling price?
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Cost price + profit = Selling Price
Answer with
Explanation:
Cost Price = 12.60
Profit = 10% of CP
= x 12.60
x 12.60
= 
= 1.26
= 1.26
Selling Price = CP + Profit
= 12.60 + 1.26
= 13.86
44. A man gains 10% by selling a certain article for a certain price. If he sells it at double the price, the profit made is :
44. A man gains 10% by selling a certain article for a certain price. If he sells it at double the price, the profit made is :
Answer : 120%
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
45. Kanaka owns aplot worth
Rs.10,000. He sells it to Raman at 10% profit Raman sells the plot back to
kanaka at a loss of 10%. In the whole transaction kanaka gets :
Answer : Rs.1,100
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
46. Profit after selling a commodity
for Rs. 425 is the same as the loss after selling it for Rs. 355. What is the
cost of the commodity?
Answer : 390
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Profit = Selling Price – Cost Price
Answer with
Explanation:
Assume cost Price = x
P = 425 –x
P 425 – x = 355 +x
425 – x = 355 +x
425 – 355 = 2x
70 = 2x
X = 35
P = 425 – 35 = 390
47. An article when sold at a gain of
5% yields Rs.15 more than when sold at a loss of 5%. What is the cost price?
Answer : Rs.150
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Let the cost price is x
5% gain 
= 
=
5% loss = 
= 
= x - x = 15
= 15
= 15
X = 
= 150
= 150
48. A reduction of 25% in the price
of eggs will enable one to buy 4 dozen more eggs for Rs.96. What is the price
per dozen?
Answer : Rs.8
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
49. If an article is sold at 5% gain
instead of 5% loss, the seller gets Rs.6.72 more. The Cost Price of the article
is :
Answer : Rs.67.20
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
50. Two-third of a consignment was
sold at a profit of 5% and the remainder at a loss of 2%. If the total profit
was Rs.400, the value of the consignment (in rupees) was : Rs. 15,000
Difficulty Level : Easy Moderately easy Difficult
Basic
Formula:
Answer with
Explanation:
Let the value of the consignment is
Rs. X
x X 5% - x X 2% = 400
x 
- x 
= 400
- 
= 400
= 400 8x = 120000
X = 120000/8 = 15000
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