Multiple choice

A spends Rs. 200 for every Rs. 20 spent by B. B spends Rs. 400 for every Rs. 150 spent by C. What is the ratio of their expenditures, respectively?

  1. 80 : 8 : 3

  2. 10 : 9 : 8

  3. 15 : 6 : 2

  4. None of these
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A Correct answer
Explanation

A/B = 200/20 = 10/1. B/C = 400/150 = 8/3. To combine, make B consistent: A/B = 80/8, B/C = 8/3. Ratio A:B:C = 80:8:3.

AI explanation

To find the combined ratio of their expenditures, first write down the given individual relationships as A:B = 200:20 and B:C = 400:150. Simplify these ratios to A:B = 10:1 and B:C = 8:3. To combine them, make the value of the common term B equal in both ratios by multiplying the first ratio by 8, resulting in A:B = 80:8. The resulting combined ratio of A:B:C is 80:8:3.

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