Question
A, B and C invested capital in the ratio of 3 : 4 : 8.
At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. What is the ratio of their invested time?Solution
ATQ, [Profits distributed in the ratio of investment × time] Calculation: A B C Investment 3 4 8 Time x y z ---------------------------------------------------------------------------- Profits Distribution 2 3 5 ⇒ 3x = 2 ; 4y = 3 ; 8z = 5 ⇒ x = 2/3; y = 3/4; z = 5/8 Taking LCM of 3, 4, 8 = 24 x = (2/3) × 24 =16 y = (3/4) × 24 =18 z = (5/8) × 24 = 15 ∴ x ∶ y ∶ z = 16 ∶ 18 ∶ 15
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