CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
The ratio 5:8 is to be made equal to a ratio in proportion with 35:k. Find k.
The value of k is 56. For the ratios 5:8 and 35:k to be in proportion, the product of extremes must equal the product of means, so 5 × k equals 8 × 35. This gives k equal to 280 divided by 5, which is 56.
- A48
- B52
- C56Correct
- D64
Explanation
For 5:8 = 35:k, k = 8 × 35 / 5 = 56. Check: 5/8 and 35/56 both reduce to 5/8. Using 35 + 3 or 35 + 21 would ignore the cross-multiplication rule.
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