Multiple choice

The ratio of A’s money to B’s money is 3 : 7 and the ratio of B’s money to C’s money is 2 : 1. If A has Rs. 600 with him, then C has

  1. Rs. 900

  2. Rs. 800

  3. Rs. 700

  4. Rs. 600

  5. Rs. 500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given A:B = 3:7 and B:C = 2:1, we find the combined ratio A:B:C. Multiply A:B by 2 and B:C by 7 to get A:B = 6:14 and B:C = 14:7. Thus A:B:C = 6:14:7. If A = 600 (6 parts), then 1 part = 100. C has 7 parts, so C = 700.

AI explanation

Combining the ratios A:B = 3:7 and B:C = 2:1, we equalize B's value to get the combined ratio A:B:C = 6:14:7. Let the amounts of A, B and C be 6x, 14x and 7x. Since A has Rs. 600, we have 6x = 600, so x equals 100. The amount C has is 7x, which equals 7 times 100, so C has Rs. 700.

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