Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

The expenditure on the cost of living of a man and his family is 60% of his salary. He gets two increment of 30% and 60% in his salary. If his saving increases by 250% of his initial saving, then the new cost of living expenditure is what percentage (rounded off to the nearest integer) of the increased salary?

Options:

32.7 Percent

43.6 Percent

29.5 Percent

36.6 Percent

Correct Answer:

32.7 Percent

Explanation:

Let initial Income = 100X

Expenditure = 60X

Saving = Income - Expenditure = 100X - 60X = 40X

Now , New Income

= 100X × \(\frac{130}{100}\) × \(\frac{160}{100}\)

= 208X

New Saving = 40X + 250% of 40X

= 40X + 100X  = 140X

Expenditure = 208X - 140X = 68X

Required Percentage = \(\frac{68X}{140X}\) ×  100 = 32.692%

= 32.7%