SSC CGL 2023 PYQ — Question 62

SSC CGL - 21 July 2023 - Shift 3 • Quantitative Aptitude • Q62

What is the equivalent discount percentage corresponding to two successive discounts of 9% and 17%?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 24.47%.

If two successive discounts are x% and y%, the equivalent single discount percentage D is given by:

D = x + y - xy100\frac{xy}{100}

given

x = 9%

y = 17%

D = 9 + 17 − 9×17100\frac{9×17}{100}

D = 26 − 153100\frac{153}{100}

D = 26 − 1.53

D = 24.47%