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?
Answer & explanation
Correct answer: option 1
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%