# Discount

Quantitative Aptitude Questions and Answers section on “Discount” with solution and explanation for competitive examinations such as CAT, MBA, SSC, Bank PO, Bank Clerical and other examinations.
1.

Successive discounts of 10% and 30% are equivalent to a single discount of __% :
[A]40%
[B]17%
[C]37%
[D]39

37%
Equivalent Discount = $x+y-\frac{x\times y}{100}$
$=> 30+10-\frac{30\times 10}{100} = 37\%$
Hence option [C] is the right answer.

2.

An item is marked for Rs. 240 for sale. If two successive discounts of 10% and 5% are allowed on the sale price, the selling price of the article will be:
[A]Rs. 34.80
[B]Rs. 36
[C]Rs. 204
[D]Rs. 205.20

Rs. 205.20
A single discount equal to the two successive discounts
$=\left ( 10+5-\frac{10\times 5}{100} \right )$% =14.5%
∴ Selling price of the article = 85.5% of Rs. 240
$=>\frac{85.5\times 240}{100}$=₹205.20
Hence option [D] is the right answer.

3.

The equivalent single discount for two successive discount of 15% and 10% is:
[A]20.5%
[B]23.5%
[C]20%
[D]25%

23.5%
Trick : Equivalent discount =
$= \left ( 15+10-\frac{15\times 10}{100} \right )$% = 23.5%
Hence option [B] is the right answer.

4.

The marked price of an article is Rs. 500. It is sold at successive discount of 20% and 10%. The selling price of the article (in rupees) is :
[A]360
[B]400
[C]350
[D]375

360
Equilant discount of successive discount of 20% and 10%
$=\left ( 20+10-\frac{20\times 10}{100} \right )$%=28%
∴ Selling price = (100 – 28)% of Rs. 500 = 72% of 500
$=\frac{500\times 72}{100}=Rs. 360$
Hence option [A] is the right answer.

5.

Successive discount of 10% and 20% are equivalent to a single discount of :
[A]12%
[B]28%
[C]30%
[D]15%

28%
Successive discount of x% and y% = $\left ( x+y-\frac{x\times y}{100} \right )$%
∴ Required discount = $\left ( 20+10-\frac{20\times 10}{100} \right )$%
$=>30-2=28$%
Hence option [B] is the right answer.

6.

The marked price of a watch was Rs. 720/-. A man bought the same for Rs. 550.80, after getting two successive discount, the first art 10%. What was the second discount rate?
[A]14%
[B]15%
[C]12%
[D]18%

15%
Marked price = Rs. 720
Actual price = Rs. 550.80
First discount = 10%
Let the second discount be x%
Then, we can write 720(1 – 0.10)(1 – 0.01x) = 550.80
$=>$720 $\times$ 0.9(1 – 0.01x) = 550.80
$=>$648(1 – 0.01x) = 550.80
$=> 1-0.01x=\frac{550.8}{648}$
$=>0.01x=1-\frac{550.8}{648}$
$=>x=\frac{1-0.85}{0.01}$
$=>x=0.15\times 100$
$=>x=15$
Hence option [C] is the right answer.

7.

The marked price of a watch is 1000 Rs. If a retailer buys this watch at 810 Rs. after getting two successive discounts of 10% and another rate which is illegible. What should be the second discount rate?
[A]7.5%
[B]10%
[C]8%
[D]12%

10%
Price after 10% first discount = $1000\times \frac{100-10}{100}$
$=> 1000\times \frac{90}{100} = 900 Rs.$
Price after second discount = 810 Rs. (Given)
∴ Second discount = 900 – 810 = 90 Rs.
∴ Percentage of second discount = $\frac{90\times 100}{900} = 10\%$
Hence option [B] is the right answer.

8.

Applied to a bill for 100000 Rs. the difference between a discount of 40% and two successive discounts of 36% and 4% is :
[A]2500 Rs.
[B]1440 Rs.
[C]4000 Rs.
[D]3500 Rs.

1440 Rs.
Successive discount of 36% and 4% is overall equals to = $\left ( 36+4-\frac{36\times 4}{100} \right )\%$
= 38.56%
∴ Percentage difference = 40 – 38.56 = 1.44%
Difference between discount = 1.44% of 100000
$=>\frac{1.44\times 100000}{100}$ $= 1440 Rs.$
Hence option [B] is the right answer.

9.

A singal discount equivalent to the successive discounts of 10%, 20% and 25% is
[A]46%
[B]60%
[C]55%
[D]45%

46%
Single of discount for successive discounts 10% and 20%
$= \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%$
∴ Equivalent discount for discounts 28% and 25%
$= \left ( 28+25-\frac{28\times 25}{100} \right )\% = 53-7 = 46\%$
Hence option [A] is the right answer.

10.

List price of an article at a show room is 2000 Rs. And it is being sold at successive discounts of 20% and 10% . Its net selling price will be :
[A]1400 Rs.
[B]1440 Rs.
[C]1900 Rs.
[D]1700 Rs.

1440 Rs.
Equivalent discount for successive discounts of 20% and 10%
$= \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%$
∴ Net selling price = 72% of 2000
$= \frac{72\times 2000}{100}$ $= 1440 Rs.$
Hence option [B] is the right answer.