SSC CGL 2023 PYQ — Question 54

SSC CGL - 14 July 2023 - Shift 4 • Quantitative Aptitude • Q54

The ratio between the monthly income and the expenditure of Vaidic is 8 : 5. If his income increases by 20% and his expenditure increases by 30%, then find the percentage increase or decrease in his monthly savings.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 3133\frac{1}{3}% increase.

Given:

The ratio between the monthly income and the expenditure of Vaidic is 8 : 5.

Let the monthly income and the expenditure of Vaidic be 8x and 5x respectively

Formula used:

Savings = Income - Expenditure

Calculations:

According to the question;

Savings = 8x - 5x = 3x

Vaidic increased monthly income = 8x × (120/100) = 9.6x

Vaidic increased expenditure = 5x × (130/100) = 6.5x

Vaidic new savings = 9.6x - 6.5x = 3.1x

Hence, the increased % of his savings = (0.1x/3x) × 100 = 10/3 = 3133\frac{1}{3}%