Question

After getting two successive discounts, a shirt with a price list of Rs. 150 is available at Rs.105. If the second discount is 12.5%, find the first discount.

• A. 20%
• B. 25%
• C. 19%
• D. 20.25%

Answer 1

The correct option is

A.20%

Let the first discount be x%.

Marked Price of shirt = Rs. 150

Price after first discount = $\frac{100-x}{100}$ x Marked Price = $\frac{100-x}{100}$ x 150

Again 12.5% discount is given on the shirt after initial discount.

Price after second discount = Rs.105 = $\frac{100-12.5}{100}$ x $\frac{100-x}{100}$ x 150 = $\frac{87.5}{100}$ x $\frac{100-x}{100}$ x 150

100- $x$ = $\frac{105\times 100\times 100}{150\times 87.5}$ = 80

$x$ = 100 - 80 = 20

So, first discount is 20%.