Profit and Loss, Discount Questions for SSC-CPO PDF
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Question 1: Marked price of an article is 60% more than its cost price. If the article is sold at a profit of 20%, then what will be the discount percentage?
a) 37.5%
b) 17.5%
c) 15%
d) 25%
Question 2: After giving a discount of 25%, a shopkeeper earns 40% profit. Marked price is what percent more than the cost price?
a) 80%
b) 75%
c) 86.67%
d) 85%
Question 3: Ramesh purchases 75 articles for ₹ 10800 and sells them at a loss equal to the selling price of 5 articles. What will be the selling price of one article?
a) ₹156
b) ₹135
c) ₹144
d) ₹132
Question 4: An article was bought for ₹ 400 and a repairing charge of ₹ 50 was paid on it. It is sold at a profit of 20%,after a discount of 10% on its marked price. The marked price is:
a) ₹540
b) ₹640
c) ₹580
d) ₹600
Question 5: If 15 apples cost as muchas 6 strawberries, 2 strawberries cost as much as 16 bananas, 6 bananas cost as much as 15 potatoes, then whatis the cost of 1 potato if an apple costs ₹ 20?
a) ₹25
b) ₹22.50
c) ₹2.50
d) ₹2.25
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Question 6: The list price of an article is ₹ 80. A customer pays ₹ 30 for it. He was given 2 successive discounts, one of them being 50%. What was the other discount?
a) 20%
b) 12.50%
c) 30%
d) 25%
Question 7: The marked price of an item for sale is ₹ 240. If two successive discount of 10% and 5% are given on the marked price, then the selling price of the item (in ₹) will be:
a) ₹34.80
b) ₹205.20
c) ₹36
d) ₹204
Question 8: Mohit sells a Almirah to Rohit at a profit of 11% and Rohit sells it to Neha at a profit of 20%. If Neha pays ₹ 6,200 for it. then the cost price of almirah for Mohit is:
a) 4654.65
b) 4244.65
c) 4634.65
d) 4184.65
Question 9: Rekha sells a DVD player to Liza at a profit of 15% and Liza sells it Megha at a profit of 25%. If Megha pays ₹ 2875 for it, then what was the cost price for Rekha.
a) ₹1800
b) ₹2000
c) ₹1500
d) ₹1900
Question 10: A shop keeper reduces the selling price of an article by 39, a gain of 10% turns in to a loss of 3%, then the original price of the article is?
a) ₹350
b) ₹300
c) ₹250
d) ₹200
Question 11: A person bought 80 m cloth at ₹110 per m and sold 75 % of it at a gain of 6 %. At what gain percent did he sell the remaining cloth, if he gained 10% on his outlay?
a) 26%
b) 22%
c) 28%
d) 24%
Question 12: A sold an article to B at 25% profit. B sold it to C at a profit of 10% and C sold it to D at 40% loss. If D boughtit for ₹46.20, then the difference between the profits of A and B is:
a) ₹8.50
b) ₹15
c) ₹6
d) ₹7
Question 13: Suman sold an article for 882 after allowing 16% discount on its marked price. Had she not allowed any discount, she would have gained 20% on the cost price. What is the cost price ofthe article?
a) 875
b) 850
c) 890
d) 880
Question 14: A person buys 25 kg of rice for ₹600 and sells them at a loss equal to the selling price of 5 kg rice. What will be the loss percentage?
a) 14.28%
b) 16.66%
c) 25%
d) 20%
Question 15: Selling price of first article is ₹ 470 and cost price of second article is ₹ 470. If there is a loss of 20% on first article and profit of 20% on second article, then what will be the overall profit or loss percentage?
a) 2.22% loss
b) 4% profit
c) No profit no loss
d) 1.80% loss
Answers & Solutions:
1) Answer (D)
Let the Cost Price be Rs.100x
Then, Marked Price = 160% of 100x = Rs.160x
Given, Profit = 20%
Selling Price = 120% of Rs.100x = Rs.120x
Discount percentage = $\dfrac{160x – 120x}{160x} \times 100 = \dfrac{40x}{160x}\times100 = 25$%
2) Answer (C)
Let the Marked Price be Rs.100x
Discount = 25% of Rs.100x = Rs.25x
Selling Price = Rs.100x – Rs.25x = Rs.75x
Cost Price = $75x\times\dfrac{100}{140} = \dfrac{Rs.375x}{7}$
Required percentage = $\dfrac{100x – \dfrac{375x}{7}}{\dfrac{375x}{7}}\times100 = \dfrac{325}{375}\times100 = 86.67$%
3) Answer (B)
Given that the Cost Price of 75 articles = Rs.10800
Let the Selling Price of each article = Rs.x
Then, Selling Price of 75 articles = Rs.75x
Selling Price of 5 articles = Rs.5x
=> 10800 – 75x = 5x
=> 80x = 10800
=> x = 135
Therefore, Selling Price of each article = Rs.135
4) Answer (D)
Total Cost Price = Rs.400+Rs.50 = Rs.450
Selling Price = $Rs.450 \times \dfrac{120}{100} = Rs.540$
Discount = 10%
Then, Marked Price = $540 \times \dfrac{100}{90} = Rs.600$
5) Answer (C)
15A = 6S => A : S = 6 : 15
2S = 16B => S : B = 16 : 2
6B = 15P => B : P = 15 : 6
where A = Apples, S = Straw berries, B = Bananas and P = Potatoes
Multiplying A : S by 16 and S : B by 15,
A : S = 96 : 240 and S : B = 240 : 30
Hence, A : S : B = 96 : 240 : 30
Multiplying B : P by 2,
B : P = 30 : 12
Then, A : S : B : P = 96 : 240 : 30 : 12
Let the cost of Apples, Straw berries, Bananas and Potatoes be Rs.96x, Rs,240x, Rs.30x and Rs.12x respectively.
Given, Rs.96x = 20 => x = $\dfrac{20}{96} = \dfrac{5}{24}$
Therefore, Cost of 1 potato = 12x = $12\times \dfrac{5}{24} = Rs.2.5$
6) Answer (D)
Given, Marked Price = Rs.80
Selling Price = Rs.30
Discount = Rs.80-Rs.30 = Rs.50
One discount = 50%
50% of 80 = Rs.40
Let the other discount be x%
$40 \times \dfrac{100-x}{100} = 30$
=> 200-2x = 150 => 2x = 50 => x = 25
Therefore, The other discount = 25%
7) Answer (B)
MP-discount=SP
SP=240*(90/100)*(95/100)
=Rs 205.2
8) Answer (A)
Mohit’s CP=x
Mohith’s SP=1.11x
Rohit’s CP=1.11x
Rohit’s SP=1.11*1.2x
Neha’s CP=1.11*1.2x
1.332x=6200
x=6200/1.332
x=4654.654
9) Answer (B)
Let the Rekha’s cost price =x
Rekha’s selling price=1.15x
Liza’s cost price=1.15x
Liza’s selling price=1.15x
Megha’s cost price=1.25*1.15x
=1.4375x
1.4375x=2875
x=2875/1.4375
x=Rs 2000
10) Answer (B)
Here the net change is 10+3 =13%
Given that this 13% change has occurred due to the change in SP i.e SP has decreased by 39
So we can say that 13% of CP=39
13*CP/100 =39
CP=3900/13
CP=Rs 300
11) Answer (B)
Given that 1m cost= Rs 110
Total cost price=110*80
=8800
Total profit =10%
Therefore total SP=1.1 CP
=1.1 *8800
=Rs 9680
75% of cloth=80*(3/4)
=60m
It is sold at 6% profit so CP of 60m cloth=60*110=6600
SP of 60m cloth=1.06*6600
=Rs 6996
SP of remaining cloth= 9680-6996
=Rs 2684
CP of 20m cloth=20*110=2200
Profit percent=((2684-2200)/2200)*100
=484/22
=22%
12) Answer (D)
Let the A’s CP=x
A’s SP=1.25x
B’s CP=1.25x
B’s SP=1.1*1.25x
C’s CP=1.1*1.25x
C’s SP=0.6*1.1*1.25x
D’s CP=0.6*1.1*1.25x=46.20
0.825x=46.20
x=46.20/0.825
x=Rs 56
A’s profit=0.25x=56/4=14
B’s profit=0.125x=7
Difference=14-7=Rs 7
13) Answer (A)
MP-discount=SP
MP-0.16MP=882
0.84MP=882
MP=882*100/84
Given in the second case MP=SP
Therefore 1.2CP=SP
CP=SP/1.2
CP=(882*100)/(84*1.2)
CP=875
14) Answer (B)
Cost Price of 25 kg of rice = Rs.600
Then, Cost Price of 1 kg of rice = Rs.24
Given, Cost Price of 25 kg of rice – Selling Price of 25 kg of rice = Selling Price of 5 kg of rice
=> Cost Price of 25 kg of rice = Selling Price of 30 kg of rice
Here, Cost Price of 25 kg of rice = Rs.600
=> Selling Price of 30 kg of rice = Rs.600
Then, Selling Price of 1 kg of rice = Rs.20
Therefore, Loss percentage $= \dfrac{24-20}{24}\times100 = \dfrac{4}{24}\times100 = \dfrac{1}{6}\times100 = 16.67$%
15) Answer (A)
Selling Price of first article = Rs.470
Loss = 20%
Cost Price of first article = $Rs.470\times\dfrac{100}{80} = Rs.587.5$
Cost Price of second article = Rs.470
Profit = 20%
Selling Price of second article = $Rs.470\times\dfrac{120}{100} = Rs.564$
Overall Cost Price of both articles = Rs.587.5+Rs.470 = Rs.1057.5
Overall Selling Price of both articles = Rs.470+Rs.564 = Rs.1034
Therefore, Loss percent = $\dfrac{1057.5-1034}{1057.5}\times100 = \dfrac{23.5}{1057.5}\times100 = 2.22$%
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