Question

A man buys pens at the rate of $6$ for $Rs.5$and sells them at $5$ for $Rs.6$. What is his profit $\%$?

• A. $34$
• B. $44$
• C. $54$
• D. $64$

Answer 1

The correct option is B $44$

Rate of cost price of pens $=$ Rs $5$ for $6$ pens.

So, Cost Price (CP) for a pen $=\frac{5}{6}Rs$

Rate of selling price of pens $=$ Rs $6$ for $5$ pens.

So, Selling Price (SP) for a pen $=\frac{6}{5}Rs$

$\therefore Profit=SP-CP=\frac{6}{5}-\frac{5}{6}=\frac{36-25}{30}=\frac{11}{30}Rs$

$\Rightarrow Profitpercentage=\frac{Profit\times 100}{CP}=\frac{\frac{11}{30}\times 100}{\frac{5}{6}}=44\%$