SSC GD 2023 PYQ — Question 48

SSC GD Constable (English) - 13 Jan 2023 - Shift 3 • Quantitative Aptitude • Q48

 A single discount equivalent to successive discounts of 10%, 20% and 40% on marked price is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 56 45\frac45%

The successive discounts given = 10%, 20%, and 40%

Firstly, we calculate a successive discount of 10% and 20% is equivalent to a single discount of = 10 + 20 - (10 × 20)/100

= 30 - 2 = 28%

Now, the successive discount of 32% and 40% is equivalent to a single discount of 

= 28 + 40 - (28 × 40)/100 = 68 - 11.2 = 56.8% 

Hence, the required single discount =  56 45\frac45%