A sum of money is to be distributed among four members A, B, C, and D in the ratio 4 : 7 : 9 : 3. If C gets Rs. 720 more than D, find the difference between C's and B’s share

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  1. Rs. 480
  2. Rs. 360
  3. Rs. 160
  4. Rs 240

Answer (Detailed Solution Below)

Option 4 : Rs 240
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Detailed Solution

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Given:

The sum of money is distributed among four members A, B, C, and D in the ratio 4:7:9:3.

C gets Rs. 720 more than D.

Formula Used:

Let the shares of A, B, C, and D be 4x, 7x, 9x, and 3x respectively.

Calculation:

Given C gets Rs. 720 more than D,

So, 9x - 3x = 720

⇒ 6x = 720

⇒ x = 720 / 6

⇒ x = 120

C's share = 9x = 9 × 120 = 1080

B's share = 7x = 7 × 120 = 840

Difference between C's and B's share = 1080 - 840 = 240

The difference between C's and B's share is Rs. 240.

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