P and Q entered into a partnership by investing some amounts. The investment of Pis thrice of the investment ofQ. Another person Rjoined them after 3 months. At the end of a year, the profit share of P and R is equal. Then find the profit share of Q is what percent of the profit share ofR.

Options

A. 0.5
B. `33(1)/(3)%`
C. 0.4
D. 0.6

Answer

B

Explanation

Let the investment of Q be Rs. X
`therefore` investment of P = Rs. 3x
Ratio of profit
`{:(,"P",:"Q":,"R"),(,12xx"3x",12 xx "x" ,9 xx "y"):}`
ATQ,
36x = 9y
y = 4x
`therefore` Required precntage `= (12 xx x)/(9 xx 4x) xx 100`
`= 33(1)/(3)%`