SSC Selection Post 2022 PYQ — Question 54

SSC Selection Post - Matriculation Level - 3 Feb 2022 - Shift 1 • Quantitative Aptitude • Q54

The price of an item increased by 10%. Anil planned to increase the expenditure on it by 5%. By what percentage must its consumption be reduced so that the expenditure on it is met within the increased amount allocated for it?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 46114 {{6} \over 11}%.

Let original price = 100, and original consumption = 1 unit

Original expenditure = 100 × 1 = 100

Price increased by 10% → New price = 110

Expenditure increased by 5% → New expenditure = 105

New consumption = 105110105\over110 = 212221\over22

Consumption reduced = (1 - 212221\over22) × 100 = 1221\over22 × 100 = 46114 {{6} \over 11}%