Question

A dealer purchased a fan for Rs 1080. After allowing a discount of 25% on its marked price, he gains 25%. Find the marked price of the fan.

Answer 1

Cost price of the fan = $Rs1080$
Gain percentage = 25%
$$\begin{gathered} \therefore \mathrm{Selling}\mathrm{price}=\left\{\frac{(100+\hspace{0.17em}\mathrm{gain}\%)}{100}\times \mathrm{CP}\right\} \\ =\left\{\frac{100+25}{100}\times 1080\right\} \\ =\frac{125}{100}\times 1080 \\ =\mathrm{Rs}1350 \end{gathered}$$

Let the marked price be Rs $x$.
Discount = 25% of $Rsx$

$=\frac{25x}{100}$

SP = MP − discount
⇒ 1350 = $X$ − $\frac{25X}{100}$

$$\begin{gathered} \Rightarrow 1350=\frac{100x-25x}{100} \\ \Rightarrow 135000=75x\Rightarrow x=\frac{13500}{75}\Rightarrow x=1800 \end{gathered}$$

Therefore, the marked price of the fan is $Rs1800$.