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?

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