The ratio between the profit of P and Q is 7 : 5 and, Q and R is 15 : 10. If the time period of P, Q and R is 1 year, 2 years, and 5 years. Find the ratio of their investment.
Answer & explanation
Correct answer: option 4
Profit ratio:
P : Q = 7 : 5 or ⇒ 21 : 15 (multiply by 3)
Q : R = 15 : 10
Now,
P : Q : R
Profit → 21 : 15 : 10
Time → 1 : 2 : 5
Inv. → \(\frac{21}{1}\) : \(\frac{15}{2}\) : \(\frac{10}{5}\) [Inv. = \(\frac{Profit}{Time}\)]
⇒ 42 : 15 : 4