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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?
1. Rs.9,520
2. Rs.8,800
3. Rs.8,640
4. Rs.9,600

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Correct Answer - Option 4 : Rs.9,600

Given:

Share of A ∶ B = 3 ∶ 4

Share of B ∶ C = 5 ∶ 6

Share of C ∶ D = 9 ∶ 10

Share of C - Share of A = Rs. 3,240

Calculation:

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

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