Question

If 20% of (p+q)=50% of (p-q),then P:q=?

Answer 1

$\textsf{We have to consider the concept given below:}\\ \\ \\ \textit{If \ \displaystyle \frac{a}{p}=\frac{b}{q} , }\\ \\ \\ \textit{then \ a:b=p:q }$

$\displaystyle \textsf{Given that, }\\ \\ \begin{aligned}&20\%\ of\ (p+q)=50\%\ of\ (p-q)\\ \\ \Longrightarrow\ \ &\frac{20}{100}(p+q)=\frac{50}{100}(p-q)\\ \\ \Longrightarrow\ \ &\frac{1}{5}(p+q)=\frac{1}{2}(p-q)\\ \\ \Longrightarrow\ \ &\frac{p+q}{5}=\frac{p-q}{2}\\ \\ \\ \therefore\ \ &(p+q):(p-q)=5:2\end{aligned}$

$\textsf{Let}\\ \\ p+q=5x\ \ \ \ \ \longrightarrow\ \ \ (1)\\ \\ \&\\ \\ p-q=2x\ \ \ \ \ \longrightarrow\ \ \ (2)$

$\begin{aligned}&(1)+(2)\\ \\ \Longrightarrow\ \ &(p+q)+(p-q)=5x+2x\\ \\ \Longrightarrow\ \ &2p=7x\\ \\ \\ &(1)-(2)\\ \\ \Longrightarrow\ \ &(p+q)-(p-q)=5x-2x\\ \\ \Longrightarrow\ \ &2q=3x\end{aligned}$

$\begin{aligned}&2p:2q=7x:3x\\ \\ \Longrightarrow\ \ &\Large p:q=\bold{7:3}\end{aligned}$

$\huge \textsc{\underline{\underline{Hence the answer is 7:3}}}$

Answer 2

Answer:

7:3

Step-by-step explanation:

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