Question

On selling an article for$\text{Rs. 329}$, a dealer lost$6\%$. The cost price of the article is

• A. $\text{Rs. 310.37}$
• B. $\text{Rs. 348.74}$
• C. $\text{Rs. 335}$
• D. $\text{Rs. 350}$

Answer 1

The correct option is D

$\text{Rs. 350}$

The selling price of an article = $\text{Rs. 329}$

Loss% = $6\%$

Let the cost price of an article be $\text{"x"}$

We know that,

$$\begin{gathered} \mathbf{\text{C.P.}}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{100}}{\mathbf{100}\mathbf{-}\mathbf{\text{loss\%}}}\mathbf{\times }\mathbf{\text{S.P.}} \\ \Rightarrow \text{x =}\frac{100}{100-6}\text{×329} \\ \Rightarrow x=\frac{100}{94}\times 329 \\ \Rightarrow x=\frac{50}{47}\times 329 \\ \Rightarrow x=50\times 7 \\ \Rightarrow x=350 \end{gathered}$$

Hence, the cost price of an article is $\text{Rs. 350}$