Multiple choice

A certain sum of money Rs. 35 divided among four person A, B, C, and D in such a way ratio of the amount received by A and B together to the total amount received by C and D is 4 : 3 . The amount received by B and C is 3 : 2 B and D received same amount. Find the share of A.

  1. 10

  2. 11

  3. 20

  4. 12
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A+B = 4x and C+D = 3x. Total = 7x = 35, so x = 5. Hence A+B = 20, C+D = 15. Given B:C = 3:2 and B = D. Let B = 3y, C = 2y, D = 3y. Then C+D = 5y = 15, so y = 3. Thus B = 9, C = 6, D = 9. Then A = 20-9 = 11. Check: 11+9+6+9 = 35 ✓ and A+B=20, C+D=15 ✓ ratio 4:3.

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