Question

Latika bought a teapot for .$\mathrm{Rs}120$ and a set of cups for .$\mathrm{Rs}400$. She sold teapot at a profit of $5\%$ and cups at a loss of $5\%$The amount received by her is.

• A. .$\mathrm{Rs}494$
• B. .$\mathrm{Rs}546$
• C. $\mathrm{Rs}506$
• D. .$\mathrm{Rs}534$

Answer 1

The correct option is C

$\mathrm{Rs}506$

Step 1: Find the Selling Price of Teapot

Cost Price of Teapot $=\mathrm{Rs}120$

Cost Price of Cup-set .$=\mathrm{Rs}400$

Teapot is sold at profit of $5\%$

$$\begin{gathered} \mathrm{profit}\%=\frac{\left(\mathrm{Selling}\mathrm{Price}\mathrm{of}\mathrm{teapot}-\mathrm{Cost}\mathrm{Price}\mathrm{of}\mathrm{teapot}\right)}{\mathrm{Cost}\mathrm{Price}\mathrm{of}\mathrm{teapot}} \\ \Rightarrow \frac{5}{100}=\frac{\left(\mathrm{Selling}\mathrm{Price}\mathrm{of}\mathrm{teapot}-120\right)}{120} \end{gathered}$$

$\Rightarrow \mathrm{Selling}\mathrm{Price}\mathrm{of}\mathrm{teapot}=\mathrm{Rs}.126$

Step 2: Find the Selling Price of Cup-set

Cup-set is sold at loss of $5\%$

$$\begin{gathered} \mathrm{loss}\%=\frac{\left(\mathrm{Cost}\mathrm{Price}\mathrm{of}\mathrm{Cupset}-\mathrm{Selling}\mathrm{Price}\mathrm{of}\mathrm{Cupset}\right)}{\mathrm{Cost}\mathrm{Price}\mathrm{of}\mathrm{Cupset}} \\ \Rightarrow \frac{5}{100}=\frac{\left(400-\mathrm{Selling}\mathrm{Price}\mathrm{of}\mathrm{Cupset}\right)}{400} \end{gathered}$$

$\Rightarrow \mathrm{Selling}\mathrm{Price}\mathrm{of}\mathrm{Cupset}=\mathrm{Rs}.380$

Step 3: Find the money earned by Latika

Money earned by Latika $=\mathrm{Selling}\mathrm{price}\mathrm{of}\mathrm{teapot}+\mathrm{Selling}\mathrm{price}\mathrm{of}\mathrm{Cupset}$

$$\begin{gathered} =380+126 \\ =Rs506 \end{gathered}$$

Therefore, option C is the correct answer.