The ratio of income of A to that of B is 4 : 3. The expenditure of A is 5/12 of his income and the expenditure of B is 7/15 of his income. The difference between their expenditures is Rs 4500. Find the income of B.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs 50,625.
Given:
The ratio of income of A and B = 4 : 3
Expenditure of A = 5/12 of income of A
Expenditure of B = 7/15 of income of B
Difference between the expenditure of A and B = 4500
Calculations:
Let the income of A and B be 4x and 3x
Expenditure of A = (5/12) × 4x = (5/3)x
Expenditure of B = (7/15) × 3x = (7/5)x
According to the question;
⇒ (5/3)x - (7/5)x = 4500
⇒ 4x/15 = 4500
⇒ x = 16875
Income of B = 3x
⇒ 3 × 16875
⇒ 50625