Question 59

A shopekeeper earns 25% profit, if he sells an article at 10% discount on the marked price ₹2,500. Find his profit.

Solution

Given, 

Marked Price = ₹2,500

Discount = 10 %

Selling Price = MP - 10% of MP

= $$2500-\frac{10}{100}\times\ 2500=₹2250$$...........(i)

On this selling price, Shopkeeper is earning 25 % profit. 

As we know, 

Selling price = Cost price + profit

Now the cost price be 100 units. 

Profit is 25 % of cost price = 25 units

Selling price = 125 units.............(ii)

Equating (i) and (ii) , we get

125 units = 2250

Cost Price = $$100\ units\ =\ \frac{2250}{125}\times\ 100=₹1800$$

Profit = SP - CP = 2250 - 1800 = ₹450

Hence, Option A is correct. 


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