Question

The income of A and B is in the ratio 7 ∶ 8 and that of B and C is 4 ∶ 3. The ratio of savings of A and C is 4 ∶ 3 and the difference between the savings of B and C together to the savings A is Rs. 32,000. Find the salary of B if it is given their expenditure is equal

• A. 56,000
• B. 58,000
• C. 49,000
• D. 64,000

Answer 1

Answer:

D. 64,000

Income of A, B and C is 7x, 8x, 6x Let their expenditure be y Savings of A = 7x – y Savings of C = 6x – y Ratio of A ∶ B = 7 ∶ 8 Ratio of B ∶ C = 4 ∶ 3 A ∶ B ∶ C = 7 ∶ 8 ∶ 6 Ratio of saving A and C = (7x – y)/(6x – y) = 4/3 ⇒ 21x – 3y = 24x – 4y ⇒ y = 3x ⇒ Saving of A = 7x – 3x = 4x ⇒ Saving of B = 8x – 3x = 5x ⇒ Saving of C = 6x – 3x = 3x Difference between the savings of B and C together to the savings A is 32,000 ⇒ (5x + 3x) – (4x) = 32,000 ⇒ 4x = 32,000 ⇒ x = 8000 Income of B = 8x = 8 × 8000 = Rs. 64,000