SSC CGL 2023 PYQ — Question 65

SSC CGL - 18 July 2023 - Shift 1 • Quantitative Aptitude • Q65

A shopkeeper offers the following two discount schemes.

A) Two successive discounts of 10% and 15% 

B) Buy 5 get 2 free.

Which scheme has the maximum discount percentage?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. B.

A) Two successive discounts of 10% and 15% 

Single discount of two successive discounts = x + y + xy/100

-10 - 15 + 150/100 = -25 + 1.5 = 23.5% [-ve sign shows discount]

B) Buy 5 get 2 free

Concept:

M.P. = S.P. + Discount

Discount % = Discount/M.P. × 100

Let M.P. of 1 good be Rs. x.

M.P. of 7 goods = 7x

Discount = Rs. 2x

Net discount % = {(2x)/7x} x 100 = 28.57%

The net discount is equal to 28.57%.

Thus, scheme B will give maximum discount