# P, Q & R start a business with the investment ratio 5:6:8. At the end

| P, Q & R start a business with the investment ratio 5:6:8. At the end of the year their profit ratio is 5:3:12. If R worked for entire year then find the sum of time duration of P and Q for which they invested their money.

A. 8 months

B. 6 months

C. 12 months

D. 9 months

### Right Answer is: C

#### SOLUTION

P, Q & R start a business with the investment ratio 5:6:8.

Let investment of P = 5x

Investment of Q = 6x

Investment of R = 8x

Let profit of P = 5y

profit of Q = 3y

profit of R = 12y

Profit earned (Investment Time)

⇒ Time =

Time duration of P =

Time duration of Q=

Time duration of R=

Ratio of time duration of P, Q and R = : : = 1: : = 2:1:3

As we know that R work for entire year.

So, 3 unit = 12 months

1 unit = 4 months

⇒ 2 unit = 8 months

Hence sum of time duration of P and Q= 4 months + 8 months = 12 months

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P, Q & R start a business with the investment ratio 5:6:8. At the end