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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