Question

Manoj travels from Meerut to Delhi to buy goods which he gets $10\%$ cheaper in Delhi than in Meerut. If his journey expenses are $Rs.160$ and he earns $Rs.240$ by selling goods at Meerut; calculate his profit per cent.

• A. $2\frac{13}{47}$%
• B. $5\frac{15}{47}$%
• C. $6\frac{18}{47}$%
• D. $9\frac{20}{47}$%

Answer 1

The correct option is C $6\frac{18}{47}$%

Let the original marked price at Delhi and selling price at Meerut = $Rs.x$

After $10$ % discount, Manoj buys the good for $Rs.(x-10\%\times x)=Rs.(90\%\times x)=Rs.0.9x$
Total $C.P.$ including the journey expenses$=Rs.(0.9x+160)$
Given, $Gain=Rs.240$

$\Rightarrow S.P.-C.P.=240$

$\Rightarrow x-(0.9x+160)=240$

$\Rightarrow x-0.9x-160=240$

$\Rightarrow 0.1x=240+160$

$\Rightarrow 0.1x=400$

$\Rightarrow x=4,000$

Hence, marked price at Delhi is $Rs.4,000$
And the price paid by Manoj at Delhi $=Rs.0.9\times 4000=Rs.3,600$
And Total C.P. $=Rs.(3,600+160)=Rs.3,760$

Now, Profit $\%$ $=\frac{Profit}{C.P.}\times 100\%$

$=\frac{240}{3,760}\times 100\%$

$=\frac{300}{47}\%$

$=6\frac{18}{47}\%$

Hence, the profit $\%$ is $6\frac{18}{47}\%$