Question : A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z =?
Option 1: 9 : 6 : 7
Option 2: 7 : 9 : 4
Option 3: 9 : 4 : 7
Option 4: 6 : 7 : 9
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Correct Answer: 9 : 6 : 7
Solution :
The ratio of investment of A, B, and C is = 5 : 7 : 4
The timing ratio of A, B, and C is = x : y : z
The profits distribution ratio is = 45 : 42 : 28
We know that profits are distributed in the ratio of investment × time
So, 5x = 45 ; 7y = 42 ; 4z = 28
⇒ x = 9, y = 6, z = 7
$\therefore$ x : y : z = 9 : 6 : 7
Hence, the correct answer is 9 : 6 : 7.
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