Salaries A, B, C are in the ratio 2:3:5. If A, B, C receive increments of 15%, 10% and 20% respectively, what is the new ratio of their salaries?

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Multiple Choice

Salaries A, B, C are in the ratio 2:3:5. If A, B, C receive increments of 15%, 10% and 20% respectively, what is the new ratio of their salaries?

Explanation:
This question tests how percentage increases change a set of salaries that are initially in a given ratio and how to convert those new amounts into a clean ratio. Start by giving the salaries in simple terms: A = 2x, B = 3x, C = 5x. Apply the percentage increases: A becomes 2x × 1.15 = 2.3x, B becomes 3x × 1.10 = 3.3x, and C becomes 5x × 1.20 = 6x. The new amounts are 2.3x, 3.3x, and 6x, so the ratio is 2.3 : 3.3 : 6. To avoid decimals, multiply each term by 10, giving 23 : 33 : 60. Therefore, the new ratio is 23:33:60.

This question tests how percentage increases change a set of salaries that are initially in a given ratio and how to convert those new amounts into a clean ratio.

Start by giving the salaries in simple terms: A = 2x, B = 3x, C = 5x. Apply the percentage increases: A becomes 2x × 1.15 = 2.3x, B becomes 3x × 1.10 = 3.3x, and C becomes 5x × 1.20 = 6x. The new amounts are 2.3x, 3.3x, and 6x, so the ratio is 2.3 : 3.3 : 6. To avoid decimals, multiply each term by 10, giving 23 : 33 : 60. Therefore, the new ratio is 23:33:60.

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