Multiple choice

An amount of money is divided among A, B and C respectively in the ratio of 6 : 18 : 27. If the difference between the total share of A and B together and C's share is Rs. 3600, what is the difference between B's and C's shares?

  1. 10,800

  2. 21,600

  3. 15,600

  4. 10,600

  5. 7600
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A Correct answer
Explanation

Ratio A:B:C = 6:18:27. Let shares be 6k, 18k, 27k. (A+B) - C = (6k+18k) - 27k = -3k. Given | -3k | = 3600, so 3k = 3600, k = 1200. Difference between B and C = | 18k - 27k | = 9k = 9 * 1200 = 10,800.

AI explanation

Let the shares of A, B and C be 6x, 18x and 27x. The difference between the total share of A and B together and C's share is (6x + 18x) - 27x = -3x, which gives an absolute difference of 3x = 3600, so x = 1200. The difference between B's and C's shares is 27x - 18x = 9x. Substituting the value of x gives 9 * 1200 = 10800. The difference is Rs. 10,800.

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