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    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?
    A 15: 9:10 Correct Answer Incorrect Answer
    B 20:15:6 Correct Answer Incorrect Answer
    C 12:10:7 Correct Answer Incorrect Answer
    D 9:8:7 Correct Answer Incorrect Answer

    Solution

    Given, 45% of тАШAтАЩ = (3/5)th┬аof тАШBтАЩ = 1.5 times of тАШCтАЩ So, 45% of тАШAтАЩ = (3/5)th┬аof тАШBтАЩ Or, 0.45A = 0.6B Or, (A/B) = (4/3) So, A:B = 4:3 Now, (3/5)th┬аof тАШBтАЩ = 1.5 times of тАШCтАЩ So, 0.6 ├Ч B = 1.5 ├Ч C Or, (B/C) = (5/2) So, B:C = 5:2 Let тАШAтАЩ and тАШBтАЩ be 4x and 3x, respectively Therefore, тАШCтАЩ = (3x/5) ├Ч 2 = 1.2x Required ratio = 4x:3x:1.2x = 20:15:6

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