Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

P's income is 150 percent of Q's income and P's expenditure is 60 percent of Q's expenditure. If Q saves 20 percent of his income, then how much percentage does P save of his own income?

Options:

68 percent

60 percent

72 percent

75 percent

Correct Answer:

68 percent

Explanation:

P's income is 150 percent of Q's income

Let Q's income = 100

P's income = 150% of 100 = 150

Q saves 20% of his income .

Q's saving = 20% of 100 = 20

Expenditure = 100 - 20 = 80

P's expenditure is 60 percent of Q's expenditure

P's expenditure = 60% of 80 = \(\frac{3}{5}\) × 80 = 48

Saving of P = 150 - 48 = 102

Required percentage = \(\frac{102}{150}\) × 100 = 68%