The ratio of income of A to that of B is 4 : 3. The expenditure of A is $\frac{5}{12}$ of his income and the expenditure of B is $\frac{7}{15}$ of his income. The difference between their expenditures is ₹4,500. Find the income of B.

₹50,625

According to the question,

salary of A : B = 4 : 3

⇒ Expenditure = \(\frac{5}{12}\) : \(\frac{7}{15}\)

⇒ 4x × \(\frac{5}{12}\) - 3x × \(\frac{5}{12}\)

⇒ \(\frac{5x}{3}\) - \(\frac{7x}{5}\) =  Rs. 4500,

⇒ \(\frac{25x - 21x}{15}\) = 4500,

⇒ 4x = 67,500

⇒ x = Rs. 16875

⇒ Salary of B = 3 x 16,875 = Rs. 50,625