A shopkeeper marks his goods at a price such that after giving a discount of 20%, he gains 25%. If the cost price of the article is ₹560, what will be its marked price (in₹)?

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Ans-

Let’s assume that the marked price of the article is ‘M’.

As per the given conditions, the shopkeeper marks his goods at a price such that after giving a discount of 20%, he gains 25%. This means that the selling price (after giving a discount) is 125% of the cost price.

We know that the cost price of the article is ₹560.

So, the selling price (after giving a discount) will be: 125% of ₹560 = (125/100) x ₹560 = ₹700

We can use the formula to calculate the marked price of the article: Selling price = Marked price – Discount

We know that the discount is 20% and the selling price is ₹700.

So, using the formula, we get: ₹700 = M – 20% of M ₹700 = M – (20/100)M ₹700 = M – 0.2M ₹700 = 0.8M M = ₹875

Therefore, the marked price of the article is ₹875.

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