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Mrs. Sunita divides a sum of money among her four children - A, B, C, D - in the ratio 3 : 5 : 7 : 9. If the share of B and C together is Rs. 64,812, what is the total amount received by C and D?
1. Rs. 86,416
2. Rs. 99,491
3. Rs. 85,896
4. Rs. 69,856

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Correct Answer - Option 1 : Rs. 86,416

Let the share (in Rs.) of A, B, C and D be 3x, 5x, 7x and 9x respectively.

∴ B + C = 5x + 7x = 12x = 64812

∴ x = 5401

∴ Total amount received by C and D = 7x + 9x = 16x = 16 ⨯ 5401 = 86,416

Hence, ‘86,416’ is the correct answer.

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