SSC CGL 2022 PYQ — Question 67

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q67

Successive discounts of 18% and 22% are equal to a single discount of ______.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 36.04%.

Given:

First discount = 18%

Second discount = 22%

Concept Used:

Single discount = X+Y−XY100X + Y - {XY \over 100}    ....(i)

X = First discount 

Y = second discount

Explanation:

Using equation (i), we get

Single discount = 18+22−18×2210018 + 22 - {18 \times 22 \over 100}

⇒ Single discount = 40 - 3.96

⇒ Single discount = 36.04

HEnce the single discount for 18% and 22% is 36.04%.