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.

# Discount

Successive discounts of 10% and 30% are equivalent to a single discount of __% :

[A]40%

[B]17%

[C]37%

[D]39

**37%**

Equivalent Discount =

Hence option [C] is the right answer.

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

% =14.5%

∴ Selling price of the article = 85.5% of Rs. 240

=₹205.20

Hence option [D] is the right answer.

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 =

% = 23.5%

Hence option [B] is the right answer.

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%

%=28%

∴ Selling price = (100 – 28)% of Rs. 500 = 72% of 500

Hence option [A] is the right answer.

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% = %

∴ Required discount = %

%

Hence option [B] is the right answer.

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 0.9(1 – 0.01x) = 550.80

648(1 – 0.01x) = 550.80

Hence option [C] is the right answer.

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 =

Price after second discount = 810 Rs. (Given)

∴ Second discount = 900 – 810 = 90 Rs.

∴ Percentage of second discount =

Hence option [B] is the right answer.

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 =

= 38.56%

∴ Percentage difference = 40 – 38.56 = 1.44%

Difference between discount = 1.44% of 100000

Hence option [B] is the right answer.

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%

∴ Equivalent discount for discounts 28% and 25%

Hence option [A] is the right answer.

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%

∴ Net selling price = 72% of 2000

Hence option [B] is the right answer.