Question

यदि (P-Q) का 50%=(P+Q) का 30% और Q=P का x%हो, तो x का मान क्या होगा

Answer 1

According to the given information,

50 % of ( P - Q ) = 30% of ( P + Q )

$\frac{50}{100}( P - Q ) = \frac{30}{100} of ( P + Q ) \\ \\ \\ \rightarrow 50( P - Q ) = 30( P + Q ) \\ \\ \\ \rightarrow 50P - 50Q = 30P + 30Q \\ \\ \\ \rightarrow 50P - 30P = 30Q + 50Q \\ \\ \\ \rightarrow 20P = 80Q \\ \\ \\ \rightarrow P = \frac{80}{20} \times Q \\ \\ \\ \rightarrow P = 4 \times Q \\ \\ \\ \rightarrow \frac{P}{4} = Q\\ \\ \\ \ \ \\ \\ \bold{Given, Q = \frac{x}{100} \times P} \\ \\ \\ \frac{P}{4} = \frac{P \times x}{100} \\ \\ \\ \frac{P \times 100 }{4 \times P } = x$

$\frac{100}{4} = x \\ \\ \\ \rightarrow 25 = x$

Value of x = 25