Profit and loss problem

Question

A shopkeeper allows a discount of 12.5% on the marked price of a certain article and makes a profit of 20%. If the article costs the shopkeeper Rs 210, then the marked price of the article will be?

Answer 1

You are given that : $$\begin{align} \operatorname{discounted} &= (100\%-12.5\%)\times\operatorname{marked} \\[1ex] \operatorname{discounted}&=(100\%+20\%)\times\operatorname{cost} \\[1ex] \operatorname{cost} &= \mathcal {Rs}\;120 \end{align}$$

Then clearly:

$$(100\%-12.5\%)\times\operatorname{marked}=(100\%+20\%)\times\mathcal {Rs}\;120$$

So it follows that: $$\therefore \operatorname{marked} = \dfrac{\Box}{\Box}$$

Answer 2

At 20% profit, the selling price is 210*120/100=Rs252/-

Let, Marked Price is Rs100 At 12.5% discount the selling price is (100-12.5)=87.5Rs If selling price is Rs87.5 then the marked price is Rs100

Now if selling price is Rs87.5 then the marked price is Rs100 if selling price is Rs252 then the marked price is Rs100*252/87.5=Rs288 So The marked Price is Rs288