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 = ?

• A. 9 : 4 : 7
• B. 7 : 9 : 4
• C. 6 : 7 : 9
• D. 9 : 6 : 7

Answer 1

Answer:

D. 9 : 6 : 7

Solution: Given: 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 Concept used: Profits distributed in the ratio of investment × time Calculation: A B C Investment 5 7 4 Time x y z ---------------------------------------------------------------------------- Profits Distribution 45 42 28 ⇒ 5x = 45 ; 7y = 42 ; 4z = 28 ⇒ x = 9 ; y = 6 ; z = 7 ∴ x ∶ y ∶ z = 9 ∶ 6 ∶ 7