Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

Soham’s initial expenditure and savings were in the ratio 5: 1. His income increases by 25%, while his savings increase by 20%. If Soham’s current expenditure is ₹4,347, what was his initial income?

Options:

₹4,130

₹4,140

₹4,150

₹4,160

Correct Answer:

₹4,140

Explanation:

25% = \(\frac{1}{4}\) & 20% = \(\frac{1}{5}\)

Ratio of ,                      Expenditure    :     Saving 

                                           5            :         1

let Expenditure = 50x , Saving = 10x

Income = 50x + 10x = 60x

New Income = 60x + \(\frac{1}{4}\) × 60x = 60x + 15x = 75x

New saving = 10x + \(\frac{1}{5}\) × 10x = 12x

Expenditure = 75x - 12x = 63x

ATQ , 

63x = 4347

x = 69

Initial income = 60x = 60  × 69 =  4140