The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?
Correct answer: B. 5 : 3 : 2
- A. 5 : 3 : 1
- B. 5 : 3 : 2
- C. 10 : 7 : 4
- D. 10 : 8 : 5
- E. None of these
Explanation
Apply each increase to the original ratio: X = 8 x 1.25 = 10, Y = 5 x 1.20 = 6, and Z = 3 x 4/3 = 4. The new ratio is 10:6:4 = 5:3:2; option c, 10:7:4, uses an incorrect increase for Y.
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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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