Question

if 60% of P=30% of Q,then P=x% of Q. find x=?​

Answer 1

Step-by-step explanation:

6/10P=3/10Q

2P=Q

P=1/2Q

P=50%Q

Answer 2

$\huge{ \underline {\overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\bold{ \underline{ \: \: Given \: : \mapsto}} \\ \\ \bold{ If\: \: 60\% \: \: of \: \: P = 30\% \: \: of \: \: Q \: \: then} \\ \bold{P = x\% \: \: of \: \: Q} \\ \\ \bold{ \underline{ \: \: To \: \: find \: : \mapsto}} \: \: \: \bold{ \: \:The \: \: value \: \: of \: \: x \: \: }$

NOW,

$\: \: \: \mathsf{60\% \: \: of \: \: P = 30\% \: \: of \: \: Q} \\ \\ \mathsf{ \Rightarrow \: \: \frac{60}{100} \times P = \frac{30}{100} \times Q} \\ \\ \mathsf{\Rightarrow \: \: P = \frac{30}{ \cancel{100}} \times Q \times \frac{ \cancel{100}}{60} } \\ \\ \mathsf{\Rightarrow \: \: P = \frac{30}{60} \times Q} \\ \\ \mathsf{\Rightarrow \: \: P = \frac{1}{2} \times Q}$

$\bold{ \underline{ \: \: Trasferring \: \: the \: \: fraction \: \: \boxed{\frac{1}{2} }\: \: to \: \: percentage \: \: }} \\ \\ \: \: \: \: \mathcal{ \frac{1}{2} \times 100 \% = 50\%}\:$

$\therefore \: \: \boxed{ \bold{P = \: \underline{ \: \: 50\% \: \: }\: \: of \: \: \: Q}}$

So, the value of x = 50