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