Question

if sp of 10 pens is equal to the cp of 14 pens .find gain percent​

Answer 1

Question :

• If SP of 10 pens is equal to the CP of 14 pens .find gain percent.

Solution :

• We have been given the selling price of 10 pens is equal to the cost of 14 pens  
• We need to find the gain percent.
• Let the S.P of 1 pen be x and the C.P of 1 pen be y.

From the given info we get that

$\begin{lgathered}\begin{aligned}&10 x=14 y\\\\&x=\frac{14 y}{10}\\\\&x=\frac{7}{5} y\end{aligned}\end{lgathered}$

The formula to find gain percentage is:

G . P % = $\frac{S . P-C . P}{C . P} \times 100$

Therefore,

$\begin{lgathered}G \cdot P \%=\frac{x-y}{y} \times 100\\\\G \cdot P \%=\frac{\frac{7 y}{5}-y}{y} \times 100\\\\G . P \%=\frac{2 y}{5 y} \times 100\\\\G . P \%=40 \%\end{lgathered}$

$\begin{lgathered}G \cdot P \%=\frac{x-y}{y} \times 100\\\\G \cdot P \%=\frac{\frac{7 y}{5}-y}{y} \times 100\\\\G . P \%=\frac{2 y}{5 y} \times 100\\\\G . P \%=40 \%\end{lgathered}$

Therefore, the gain percent is 40%