**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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