Question

The cost of an article is $\text{Rs.}15500$ and $\text{Rs.}450$ is spent in its repairing. If the article is sold at a profit of $15$, then what is the selling price?

• A. 14682
• B. 15342.5
• C. 18000
• D. 18342.5

Answer 1

The correct option is D

18342.5

Given, the Cost Price$(C.P.)$ of the article $=\text{Rs.}15500$

Repairing Cost $=\text{Rs.}450$

Now, the effective Cost Price $=\text{given}C.P.+\text{Repairing Cost}=\text{Rs.}(15500+450)=\text{Rs.}15950$

$\text{Profit}\%=15\%$

We know that, $\text{Profit}\%=\frac{S.P.-C.P.}{C.P.}\times 100$

$\Rightarrow \text{Profit}\%=\frac{\text{Profit}}{C.P.}\times 100$

$\Rightarrow 15=\frac{\text{Profit}}{15950}\times 100$

$\Rightarrow$ Profit $=\frac{15\times 15950}{100}=\text{Rs.}2392.5$

$\because$ Profit $=S.P.-C.P.$

$\therefore S.P.=\text{Profit}+C.P.=2392.5+15950=\text{Rs.}18342.5$