There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Correct answer: D. 5 : 8
- A. 8 : 25
- B. 25 : 8
- C. 8 : 5
- D. 5 : 8
- E. None of these
Explanation
Let the first and second numbers be x and y. The condition gives y + 0.40x = 1.25y, so 0.40x = 0.25y and x:y = 0.25:0.40 = 5:8; option c, 8:5, reverses the required ratio.
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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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