The income of P & Q are in the ratio of 7 : 3 and their expenditures are in the ratio of 4 : 1.  If each saves Rs. 7500, then what will be the sum of their incomes?

45000

Ratio of Income = 7 : 3

Ratio of Expenditure = 4 : 1

ATQ,

⇒ \(\frac{7R - 7500}{3R - 7500}\) = \(\frac{4}{1}\)

⇒ 7R - 7500 = 12R - 30000

⇒ 5R = 22500

⇒ 1R = 4500

So,

Sum of income of P & Q = 7R + 3R = 10R = 10 × 4500 = 45000