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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions

What is the compounded ratio of 2 : 3, 9 : 4 and 5 : 6?

The compounded ratio is 5 : 4. Multiply the first terms, 2 x 9 x 5 = 90, and the second terms, 3 x 4 x 6 = 72. The ratio 90 : 72 reduces by 18 to 5 : 4.

  1. A5 : 4Correct
  2. B5 : 8
  3. C3 : 2
  4. D15 : 12 : 4

Explanation

Multiply antecedents: 2 x 9 x 5 = 90. Multiply consequents: 3 x 4 x 6 = 72. 90 : 72 = 5 : 4. Option 5 : 8 arises from a calculation slip in the arithmetic, and 3 : 2 is not the product.

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