If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Correct answer: C. 60%
- A. 40%
- B. 33 1/3%
- C. 60%
- D. 66 2/3%
- E. None of these
Explanation
The ratio 1/8 : 1/5 becomes 5 : 8 after multiplying both terms by 40. The second number exceeds the first by 3 parts, so the percentage increase is (3 ÷ 5) x 100 = 60%. The likely trap is 40%, which uses the increase divided by the second number instead of by the first number.
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About Ratio and Proportion
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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