SSC Selection Post 2022 PYQ — Question 67

SSC Selection Post - Matriculation Level 2022 - 3 Aug 2022 - Shift 1 • Quantitative Aptitude • Q67

The ratio of expenditure to savings of a woman is 2 : 1. If her income and expenditure increase by 17% and 13%, respectively, then find the percentage increase in her saving.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 25%.

Ratio of expenditure : savings = 2 : 1

So for every ₹3 of income, ₹2 is spent, ₹1 is saved.

Assume initial income = ₹3
Expenditure = ₹2 ,Savings = ₹1

Income increases by 17% → New income = ₹3 × 1.17 = ₹3.51

Expenditure increases by 13% → New expenditure = ₹2 × 1.13 = ₹2.26

New saving = ₹3.51 − ₹2.26 = ₹1.25

Old saving = ₹1 , New saving = ₹1.25
Increase = ₹1.25 − ₹1 = ₹0.25

Percentage increase in saving =0.251×100=25% \frac{0.25}{1} \times 100 = {25\%}