Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

Sonu saves 15% of her income. If her income increases by 20% and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place)

Options:

23.5

22.8

23.8

242

Correct Answer:

23.5

Explanation:

Let the income of Sonu be Rs. 100x

Savings of Sonu = 100x ×\(\frac{15}{100}\)=  15x

Expenditure of Sonu = 100x – 15x =  85x

New income of Sonu = 100x × \(\frac{120}{100}\) = 120x

If savings amount same, then new expenditure = 120x – 15x = 105x

Her expenditure increased by = 105x – 85x = 20x

Her expenditure increased by =  \(\frac{20x}{85x}\) × 100 = 23.52%

= 23.5%  (approx)