Question

A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 3 ∶ 4, that of B and C is 5 ∶ 6 and that of C and D is 9 ∶ 10. If the difference between the shares of A and C is Rs.3,240, then what is the share of D?

• A. Rs.9,520
• B. Rs.8,800
• C. Rs.8,640
• D. Rs.9,600

Answer 1

Answer:

D. Rs.9,600

Share of A ∶ B = 3 ∶ 4 Share of B ∶ C = 5 ∶ 6 Share of C ∶ D = 9 ∶ 10 Ratio of share of A ∶ B ∶ C ∶ D = 45 ∶ 60 ∶ 72 ∶ 80 Let the share of A, B, C, D = 45a, 60a, 72a, 80a Share of C - Share of A = Rs. 3,240 72a - 45a = 3240 ⇒ 27a = 3240 ⇒ a = 3240/27 ⇒ a = 120 Share of D = 80a = 80 × 120 = Rs. 9600