Let A, B and C invested the money for time t1, t2 and t3 respectively Also, let profit of A, B and C be 24x, 18x and 15x. Investment of A, B and C be 8y, 9y and 10y Now, ⇒ Profit of A/Profit of B = (Investment of A × time of investment for A) / (Investment of B × time of investment for B) ⇒ 24x/18x = 8yt1/9yt2 ⇒ t1/t2 = 3/2 Similarly, ⇒ Profit of B/Profit of C = (Investment of B × time of investment for B) / (Investment of C × time of investment for C) ⇒ 18x/15x = 9yt2/10yt3 ⇒ t2/t3= 2/1.5 Now, we have t1/t2 = 3/2 and t2/t3 = 2/1.5 ⇒ t1 ∶ t2 ∶ t3 = 3 ∶ 2 ∶ 1.5 = 30 ∶ 20 ∶ 15= 6 ∶ 4 ∶ 3 ∴ 6 ∶ 4 ∶ 3 is ratio of time in which they have invested the money in the corporation