Question

If $P$ varies directly as $QR$ and the values of $P,Q,R$ be $6,9,10$ respectively then the value of $P$ when $Q=5$ and $R=3$ is:

• A. $\frac{1}{2}$
• B. $3$
• C. $\frac{1}{3}$
• D. $1$

Answer 1

Answer: (D)

$1$

Given $P=K\times QR$ where 'K' is a constant

$\Rightarrow 6=K\times 9\times 10$

$\Rightarrow K=\frac{1}{15}$

value of P when $Q=5$ and $R=3$

$\Rightarrow P=\frac{1}{15}\times 5\times 3=1$