SSC CHSL 2024 PYQ — Question 10

SSC CHSL Tier II - 10 Jan 2024 - Shift 1 • Quantitative Aptitude • Q10

The ratio of expenditure to savings of Richa is 2 : 1. If her income and expenditure increase by 20% and 15%, respectively, then find the percentage increase in her savings.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 30%.

Given:

The ratio of expenditure to savings of Richa is 2 : 1.

If her income and expenditure increase by 20% and 15%, respectively

Formula used:

Income = Expenditure + Savings

Calculations:

According to the question;

Her income = 2x + x = 3x

Her new income = 1.2 × 3x = 3.6x

Her new expenditure = 1.15 × 2x = 2.3x

Now, new savings = 3.6x - 2.3x = 1.3x

Hence, the increased percentage of savings = [(1.3x - x)/x] × 100 = 30%