Question

A man bought $400$ meters of cloth for $₹40,000$ and sold it at a rate of $₹200$ per one and a half meter. What was his percentage profit or loss?

Answer 1

Cost of $400$ meters of cloth $=₹40,000$

Selling price for $1.5$ meter of cloth $=₹200$

Therefore, selling price of $1$ meter of cloth $=₹\frac{200}{1.5}$

and, selling price of $400$ meters of cloth $=₹\frac{200}{1.5}\times 400$

$=₹53,333.33$

Since, the selling price is more than the cost price. So, the man will be in profit.

and, the profit $=$ Selling Price $-$Cost Price

$$\begin{gathered} =₹(53,333.33-40,000) \\ =₹13,333.33 \end{gathered}$$

and, profit percentage $=\frac{profit}{c.p.}\times 100\%$

$$\begin{gathered} =\frac{13333.33}{40000}\times 100 \\ =33.33\% \end{gathered}$$

Hence, the profit percent is $\mathbf{33}\mathbf{.}\mathbf{33}\mathbf{}\mathbf{\%}$.