### Question 3

SSC-CGL 2019 June 13 Shift 1

An article is sold for Re 288 after successive discounts of 25% and x%. If the marked price of the article is Re 480, what is the value of x?

- 20
- 16
- 15
- 18

### Solution in Short

First discount is 25% of 480 = 120. So price after first discount is Re 360. After that SP has been given as 288, so second discount is (360 - 288) = Re. 72. In percentage terms, x = (72/360) x 100 = 20% answer!

### Solution in Detail

[1] Marked Price = $\displaystyle 480 \text{ Rs.}$

First discount = $\displaystyle 25\% \text{ of } 480 = 120 \text{ Rs.}$

Price becomes $\displaystyle 480 - 120 = 360 \text{ Rs.}$

[2] Final SP given as $\displaystyle 288 \text{ Rs.}$

$\displaystyle \therefore $ second discount $\displaystyle 360 - 288 = 72 \text{ Rs.}$

This discount is over 360 Rs.

$\displaystyle \implies x = \frac{72}{360} \times 100 = 20\% \:\underline{Ans}$

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