Question

$P,Q$ and $R$ invested their capital in the ratio of $8:6:5$ at the end of the business they received the profit the ratio of $1:3:5.$ Find the ratio of time for which they contributed their capital?

• A. $1:4:8$
• B. $4:1:8$
• C. $8:4:1$
• D. $Ca{n}^{\prime }tbedetermined$

Answer 1

The correct option is A $1:4:8$

Let capital of $P=x$ capital of $Q=y$, capital of $R=z$

Given ratio of their capital $=8:6:5$

$\therefore x:y:z=8:6:5$

Let $P_1,P_2$ and $P_3$ be profit they received at the end of the business ferms

$\therefore P_1:P_2:P_3=1:3:5$

According ti formula,

required ratio $=\frac{P_1}{x}:\frac{P_2}{y}:\frac{P_3}{z}$

$=\frac{1}{8}:\frac{3}{6}:\frac{5}{3}$

$=\frac{1}{8}:\frac{1}{2}:1$

$=1:4:8$