SSC GD 2023 PYQ — Question 50

SSC GD Constable (English) - 11 Jan 2023 - Shift 3 • Quantitative Aptitude • Q50

Successive discounts of 13 percent and 19 percent are equivalent to a single discount of :

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 29.53 percent.

The equivalent discount of two discounts can be found by the given formulae = x + y + xy/100

So,

x = 13 and, y = 19

⇒ -13 + -19 + (-13 × -19)/100

⇒ -13 + -19 + 247/100 = - 32 + 247/100 = - 32 + 2.47 = -29.53 [negative sign here shows the discount]

Hence, the single discount will be 29.53%