SSC CHSL 2020 PYQ — Question 67

SSC CHSL - 14th October 2020 - Shift 2 • Quantitative Aptitude • Q67

If the single discount equivalent to successive discounts of 20% and x% is 24%, then the value of x is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 5%.

Understanding Application

By using successive discount formula =  x + y + xy/100

If the two successive discounts are D1 and D2

then = -D1 - D2 + (-D1 x -D2/100)

Let the second discount is a.

D=-D1 - D2 + (-D1 x -D2/100)

-24 = -20 - a +{ -20 x (-a)/100}

-24 = -20 - a + a/5

a - a/5 = 4

4a/5 = 4

a = 5%