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.
Answer & explanation
Correct answer: option 4
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