SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 24 Jan 2023 - Shift 3 • Quantitative Aptitude • Q57

A company offers different types of discounts schemes.

(i) Two successive discounts of 10% and 20%

(ii) Buy 1 get 1 free

(iii) Buy 5 get 3 free

(iv) Buy 5 get 6

Which scheme has the minimum discount percentage?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. (iv)

Concept Used:

Effective discount of two successive discounts = a + b - ab100ab \over 100

Also, discount = free articlestotal articles×100{free\ articles \over total\ articles} \times 100

Explanation:

According to the given question,

(i) Two successive discounts of 10% and 20%

Effective discount = 10 + 20 - 10×20100{10 \times 20} \over 100 = 28%

(ii) Buy 1 get 1 free

Effectuve discount = 12×100{1 \over 2} \times 100 = 50%

(iii) Buy 5 get 3 free

Effective discount = 28×100{2 \over 8} \times 100 = 25%

(iv) Buy 5 get 6

Effective distance = 111×100{1 \over 11} \times 100 = 9.09%

Hence the required answer is (iv).