Question
There are three numbers: A, B, and C. It is given that
45% of A, (3/5) of B, and 1.5 times C are all equal. What is the ratio of A, B, and C?Solution
Given, 45% of ‘A’ = (3/5)th of ‘B’ = 1.5 times of ‘C’ So, 45% of ‘A’ = (3/5)th of ‘B’ Or, 0.45A = 0.6B Or, (A/B) = (4/3) So, A:B = 4:3 Now, (3/5)th of ‘B’ = 1.5 times of ‘C’ So, 0.6 × B = 1.5 × C Or, (B/C) = (5/2) So, B:C = 5:2 Let ‘A’ and ‘B’ be 4x and 3x, respectively Therefore, ‘C’ = (3x/5) × 2 = 1.2x Required ratio = 4x:3x:1.2x = 20:15:6
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