# Discount Questions For IBPS Clerk

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**Question 1: **A trader sells an item to a retailer at 20% discount, but charges 10% on the discounted price, for delivery and packaging. The retailer sells it for Rs. 2046 more, thereby earning a profit of 25%. At what price had the trader marked the item?

a) Rs. 9400

b) Rs. 9000

c) Rs. 8000

d) Rs. 12000

e) Rs. 9300

**Question 2: **A profit of 25% is earned on goods when a discount of 20% is allowed on the marked price. What profit percentage will be earned when a discount of 10% is allowed on the marked price?

a) $45\frac{9}{11}$

b) $42\frac{3}{4}$

c) $40\frac{5}{8}$

d) $37\frac{2}{3}$

e) None of these

**Question 3: **A shopkeeper sold first unit of an article to Aria at 20% discount and the second unit of the same article at 40% discount. If the shopkeeper earned an overall profit of 5%, the marked price of the article was what percent of the cost price of the article ?

a) 200

b) 150

c) 125

d) 160

e) 120

**Question 4: **Deepa bought a calculator with 30% discount on the listed price. Had she not got the discount she would have paid Rs 82.50. extra At what price did she buy the calculator ?

a) Rs 192.50

b) Rs 275

c) Rs 117.85

d) Cannot be determined

e) None of these

**Question 5: **A profit of 8% is made by selling a shirt after offering a discount of 12%. If the marked price of the shirt is Rs.1,080/-, find its cost price.

a) Rs.890/-

b) Rs. 780/-

c) Rs.880/-

d) Rs.900/-

e) None of these

**Question 6: **A shopkeeper labelled the price of his articles so as to earn a profit of 30% on the cost price. He then sold the articles by offering a discount of 10% on the labelled price. What is the actual percent profit earned in the deal?

a) 18%

b) 15%

c) 20%

d) Cannot be determined

e) None of these

**Question 7: **A person bought an article on 40% discount and sold it at 50% more than the marked price. What profit did he get?

a) 250 %

b) 150 %

c) 350 %

d) 200 %

e) None of these

**Question 8: **An article was purchased for Rs.78,350. Its price was marked up by 30%. It was sold at a discount of 20% on the marked up price. What was the profit percent on the cost price?

a) 4

b) 7

c) 5

d) 3

e) 6

**Question 9: **A shopkeeper sold an article at 20% discount and earned d profit of 4%. By what percent the marked price of the article more than the cost price of the article ?

a) 20%

b) 15%

c) 40%

d) 25%

e) 30%

**Question 10: **A shopkeeper sold a T.V. set for Rs. 17,940/-, with a discount of 8% and gained 19.6% If no discount is allowed, what will be his gain per cent?

a) 25%

b) 26.4%

c) 24.8%

d) Cannot be determined

e) None of these

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**Question 11: **A seller marks the price 50% above the cost price and gives 10% discount on an item.While selling, he cheats customer by giving 20% less in weight. Find his overall profit percent (approximate) ?

a) 26%

b) 65%

c) 68%

d) 72%

e) 76%

**Question 12: **A shopkeeper bought 84 identical shirts priced at Rs. 240 each. He spent a total of Rs. 3200 on transportation and packaging. He put the label of marked price of Rs.420 on each shirt. He offered a discount of 15% on each shirt at the marked price. What is the total profit of the shopkeeper in the whole transaction ?

a) Rs. 6258

b) Rs. 6528

c) Rs. 6268

d) Rs. 6628

e) None of these

**Question 13: **Vishal sold an article for Rs 1,840 and made 15 per cent profit on the discounted price he bought.If the discount was 20 per cent.What was the original price ?

a) Rs 1,900

b) Rs 1,600

c) Rs 2,400

d) Can’t be determined

e) None of these

**Question 14: **A merchant bought some goods worth Rs. 6000 and sold half of them at 12% profit. At what profit per cent should he sell the remaining goods so as to make an overall profit of 18%?

a) 24

b) 28

c) 18

d) 20

e) 26

**Question 15: **Cost price of two beds are equal. One bed is sold at a profit of 30% and the other one for Rs. 5,504/less than the first one. If the overall profit earned after selling both the beds is 14%, what is the cost price of each bed ?

a) Rs. 17,000

b) Rs. 16,800

c) Rs. 17,600

d) Rs. 17,800

e) Rs. 17,200

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**Answers & Solutions:**

**1) Answer (E)**

Let Marked price of item = $Rs. 100x$

=> Selling price of trader = Cost price of retailer = $100x \times \frac{80}{100} \times \frac{110}{100}$

= $Rs. 88x$

Selling price of retailer = $Rs. (88x + 2046)$

Profit % = $\frac{(88x + 2046) – 88x}{88x} \times 100 = 25$

=> $\frac{2046}{88x} = \frac{25}{100} = \frac{1}{4}$

=> $x = \frac{2046 \times 4}{88} = 93$

$\therefore$ Marked price = $100 \times 93 = Rs. 9,300$

**2) Answer (C)**

Let the Marked Price = Rs. 100

=> Selling price = $\frac{80}{100} \times 100 = 80$

$\therefore$ Cost price = $\frac{100}{125} \times 80 = 64$

When discount of 10% is allowed

=> S.P. = $\frac{90}{100} \times 100 = 90$

$\therefore$ Required Profit % = $\frac{90 – 64}{64} \times 100$

= $\frac{325}{8} = 40\frac{5}{8} \%$

**3) Answer (B)**

Let the cost price of each article = Rs. $100x$

=> C.P. of both articles = $2 \times 100x = 200x$

=> Selling price = $\frac{105}{100} \times 200x = 210x$ ——————Eqn(1)

Let the marked price = Rs. $100y$

Selling price of 1st article after 20% discount = $\frac{80}{100} \times 100y = 80y$

Selling price of 2nd article after 40% discount = $\frac{60}{100} \times 100y = 60y$

=> Total selling price = $80y + 60y = 140y$ ——————–Eqn(2)

Comparing eqns(1) & (2), we get :

=> $210x = 140y$

=> $\frac{y}{x} = \frac{210}{140} = \frac{3}{2}$

$\therefore$ Required % = $\frac{3}{2} \times 100 = 150 \%$

**4) Answer (A)**

Let the listed price of the calculator be L.

Hence, the price at which Deepa bought the calculator is 0.7L.

The difference between the two is 0.3L = 82.50

Hence, L = 82.50/0.3 = 275

Hence, the price at which Deepa bought the calculator is 275 – 82.50 = 192.50

**5) Answer (C)**

Let cost price = Rs. $100x$

=> Selling price = $100x + \frac{8}{100} \times 100x$

= $108x$

Now, after offering 12% discount, Marked price = $\frac{88}{100} \times 1080 = 108x$

=> $\frac{88}{10} = \frac{108x}{108}$

=> $x = \frac{88}{10} = 8.8$

$\therefore$ C.P. = 100 * 8.8 = Rs. 880

**6) Answer (E)**

Let the cost price of the article is 100

In order to earn 30% profit, the shopkeeper will sell it for 130

Discount = 10% of 130 = 13

SP = 130-13 = 117

Profit % =$\frac{117-100}{100}*100$ = 17%

**7) Answer (B)**

Let the marked price be Rs. 100.

Then cost price = 100 – 40 = Rs. 60

Selling price = 100+ 50 = Rs. 150

Profit = 150 – 60 = 90

Profit%=90/60×100=150%

**8) Answer (A)**

Marked price = 78,350 + 30% of 78,350 = Rs 1,01,855

Price after discount = 101855 -20% of 101855 = Rs 81,484

Profit = Rs 3,134

**9) Answer (E)**

Let the cost price of each article = Rs. $100x$

=> Selling price = $\frac{104}{100} \times 100x = 104x$ ——————Eqn(1)

Let the marked price = Rs. $100y$

Selling price of article after 20% discount = $\frac{80}{100} \times 100y = 80y$ ————Eqn(2)

Comparing eqns(1) & (2), we get :

=> $104x = 80y$

=> $\frac{y}{x} = \frac{104}{80} = \frac{13}{10}$

$\therefore$ Required % by which marked price is more than the cost price

= $\frac{13 – 10}{10} \times 100 = 30 \%$

**10) Answer (E)**

Let C.P. = Rs. $100x$

=> Selling price after profit of 19.6 %

= $100x + \frac{19.6}{100} \times 100x = 119.6x$

Acc. to ques,

=> $119.6x = 17,940$

=> $x = \frac{17,940}{119.6} = 150$

=> C.P. = Rs. $15,000$

Marked price after discount of 8%

= $\frac{100}{92} \times 17,940$

= $19,500$

$\therefore$ Profit when no discount is given

= $\frac{19,500 – 15,000}{15,000} \times 100$

= $\frac{45}{15} \times 10 = 30 \%$

**11) Answer (C)**

Let the cost price be Rs 100 and amount of product be 100 gm

Now there is 50% markup so the marked price becomes Rs 150

Now after 10% discount on Marked price the selling price = Rs (150 – 15) = Rs 135

Now it is said that he only sale 80 % of the quantity So,

he is selling 80 gm in 135 Rs which means SP of 1 gm is = Rs 1.6875

Cost price of 1 gm = Rs 1

So profit percentage is 68.75 % ~ 68%

**12) Answer (D)**

total cost of buying 84 shirts at Rs 240 each = Rs(84×240) = Rs 20160

Transportation cost = Rs 3200

Total cost = 3200 + 20160 = Rs 23360

As 15 % discount is given on marked price of 420 so selling price = 0.85 x 420 = Rs 357

total selling price of 84 shirts = 84 x 357 = Rs 29988

Total profit = 29988 – 23360 = Rs 6628

**13) Answer (E)**

let the original price be Rs y

So after 20% discount it becomes = 0.8 y

Now as the article is sold at 15 % profit so Selling Price = 1.15 × 0.8 y = 1840

y = Rs 2000

**14) Answer (A)**

Total profit to be made = 18%

Profit already made = 6% (12% on half of total value means 6% on total value)

Profit remaining = 12%

Since 12% profit is to be earned on 100% of the quantity, 24% of profit is to be made on half of the qunatity.

**15) Answer (E)**

Let the cost price of each bed Rs C per bed

Selling price of one bed (S1) = 1.3 C

Selling Price of another friend (S2) = 1.3C – 5504

it is given that overall profit is 14 % on selling both beds so ,

S1 + S2 = 1.14(2C)

1.3C + 1.3C – 5504 = 2.28C

0.32C = 5504

C = Rs 17200

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