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Question

If a shopkeeper bears 25% loss, then which of the following statements is/are correct?

Statement A: The cost price of 15 articles is equal to the selling price of 20 articles.
Statement B: The cost price of 12 articles is equal to the selling price of 17 articles.

The correct answer is

Only Statement A is correct.

If there is a 25% loss, then Selling Price (SP) = 75% of Cost Price (CP), or SP = (3/4)CP.
Let the CP of 1 article be ₹1. Then CP of 15 articles = ₹15.
SP of 20 articles = 20 × SP = 20 × (3/4) = ₹15. Hence, Statement A is correct.

For Statement B: CP of 12 articles = ₹12. SP of 17 articles = 17 × (3/4) = ₹12.75 ≠ ₹12
So, Statement B is incorrect.

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Important Questions from Profit and Loss

  1. Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair? 

  2. A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?

  3. A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:

  4. A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?

  5. Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?

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