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?

So the discounted price is $(1-\tfrac{12.5}{100})$ times the marked price, and the discounted price is $(1+\tfrac{20}{100})$ times the cost of $\mathcal{Rs}210$. Then the marked price is equal to what times the cost? — Graham Kemp, Oct 31 '14 at 04:59

score 0 · Answer 1 · answered Aug 03 '17 at 10:12

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

score 0 · Accepted Answer · answered Oct 31 '14 at 05:10

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: $$\therefore \operatorname{marked} = \dfrac{\Box}{\Box}$$

Profit and loss problem

2 Answers2