A single discount of 48 percent is given on Rs. 1080. If two successive discounts of 25 percent and 20 percent are given, then what will be the difference between both the selling prices?

Question

Question

This question was previously asked in

SSC MTS (2022) Official Paper (Held On: 13 Jun, 2023 Shift 2)

Answer 1

Given:

A single discount of 48 percent is given on Rs. 1080.

Two successive discounts of 25 percent and 20 percent are given,

Formula Used:

Single discount equivalent to two successive discounts of a % and b %

= (a + b - \(\frac{a \space × \space b}{100}\) ) %

Calculation:

Here, a = 25 % , and b = 20 %

So, the single discount = (20 + 25 - \(\frac{20 \space × \space 25}{100}\)) %

⇒ (45 - 5) %

⇒ 40 %

Selling price after getting 48% discount,

⇒ 1080 × 52 /100 = Rs 561.60

Selling price after getting 40% discount,

⇒1080 × 60 /100 = Rs 648

The difference in selling price will be

⇒ 648 - 561.60 = Rs 86.40

∴ The correct option is 4