Question

if the selling price of 5 articles is equal to the cost price of 6 articles find the profit or loss percent​

Answer 1

Step-by-step explanation:

Let the price of 1 article be ₹1

Then,

$\texttt{SP of 5 articles = CP of 6 articles}$

$\texttt{SP of 5 articles = ₹(6×1)}$

$\texttt{SP of 5 articles = ₹6}$

$\texttt{SP of 1 article = }\mathtt{ \frac{₹6}{5}}$

$\texttt{SP of 6 articles = }\mathtt{ \frac{₹6}{5}×6}$

$\texttt{SP of 6 articles = }\mathtt{\frac{₹36}{5} = ₹7\frac{1}{5}}$

$\mathtt{SP > CP}$

$\texttt{Hence, it is a Gain}$

$\mathtt{Gain = ₹(SP - CP)}$

$\mathtt{= ₹(7\frac{1}{5} - 6)}$

$\mathtt{= ₹1\frac{1}{5}}$

Gain% $= \Big(\large{\frac{Gain}{CP}×100}\Big)\%$

$= \Big(\large{1\frac{1}{5}÷6×100}\Big)\%$

$= \Big(\large{\frac{6}{5}×\frac{1}{6}×100}\Big)\%$

= 20%