What price should a shopkeeper mark on an article costing him Rs 100 to gain 20% after allowing a discount of 30 %?

What price should a shopkeeper mark on an article, costing him Rs. 153, to gain 20

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What price should a shopkeeper mark on an article costing him Rs 100 to gain 20% after allowing a discount of 30 %?

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100 Questions 100 Marks 120 Mins

Short Trick:

Let the marked price of the article be x.

⇒ Since, Mark Price after discount = Cost Price after profit

⇒ x = (200 × 130)/65

⇒ x = Rs. 400

Detailed Solution:

We know that,

Cost price of article = Rs. 200

Profit on article = 30% of Rs. 200 = Rs. 60

Selling Price of Article after 30% profit = 200 + 60 = Rs. 260

Let the marked price of the article be x.

Since, Mark Price after discount = Selling Price

⇒ 65% of x = Rs. 260

⇒ 65/100 × x = 260

∴ x = Rs. 400

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