Multiple choice

A shopkeeper buys an article at a 30% discount on its marked price and sells it at a 5% discount on its marked price. If he earns a profit of 65, then what is the marked price (in) of the article?

  1. 227.50

  2. 325

  3. 260

  4. 292.50
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let MP be M. Cost Price = 0.7M. Selling Price = 0.95M. Profit = 0.95M - 0.7M = 0.25M. 0.25M = 65. M = 65 / 0.25 = 260.

AI explanation

Let the marked price of the article be MP; the shopkeeper buys it for 70% of MP and sells it for 95% of MP. The profit earned is the difference between the selling price and the cost price, calculated as 0.95 * MP - 0.70 * MP = 0.25 * MP. We are given that the profit is Rs. 65, so setting up the equation 0.25 * MP = 65 allows us to solve for the marked price. Dividing 65 by 0.25 gives a marked price of Rs. 260.

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