Question

A sum of Rs. 7,560 is divided between A, B and C such that if their shares are diminished by Rs. 400, Rs. 300 and Rs. 260, respectively, then their shares are in the ratio 4 ∶ 2 ∶ 5. What is the original share of B?

• A. Rs. 1,500
• B. Rs. 1,200
• C. Rs. 2,400
• D. Rs. 2,700

Answer 1

Answer:

A. Rs. 1,500

Solution: Given : Sum of Rs. 7560 is divided among A,B and C If Rs 400, 300 and 260 is taken from A,B and C respectively then their shares ratio is 4 ∶ 2 ∶ 5 Calculation : Shares of A,B and C is diminished by Rs. 400, Rs. 300 and Rs. 260 respectively Diminished sum = Rs.7560 - (400 + 300 +260) ⇒ Rs.6600 The new ratio is 4 ∶ 2 ∶ 5 = 11 units ⇒ 11 units = Rs. 6600 ⇒ 1 unit = Rs. 600 ⇒ Share of B after diminishing = 2 × 600 ⇒ Rs. 1200 B was diminished by Rs. 300 ∴ Original share of B is Rs. 1500