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Question

A dealer buys two articles X and Y for ₹500 each. He marks each of them at the same price. He sells X by giving two successive discounts of 50% and 28% and still earns ₹958 as profit. If he sells Y at a single discount of 77%, then what is the profit percentage on Y?

The correct answer is
86.30%

To solve this problem, we need to calculate the profit percentage for article Y based on the given conditions. Let's break down the problem step-by-step:

  1. Both articles X and Y are bought for ₹500 each.
  2. They are marked at the same price. Let the marked price be ₹M.
  3. For Article X:
    • Two successive discounts are given: 50% and 28%.
    • The final selling price for X results in a profit of ₹958.
    • Let's calculate the final selling price of X:
  4. For Article Y:
    • Y is marked at the same price of ₹4050.
    • A single discount of 77% is given.
    • The selling price after the discount is:

Therefore, the profit percentage on Y is 86.30%.

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Important Questions from Profit & Loss (Notes)

  1. A shopkeeper bought an item for ₹7825 and marked it at 30% higher than the cost price. If he sells the item by allowing 20% discount, then his profit percentage will be :
  2. A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
  3. A shopkeeper earned a profit (in ₹) by selling an item, which is three times the discount offered (in ₹). If the discount offered is 6.25%, what is his profit percentage ?
  4. The Loss incurred by selling an article at Rs.$2042$ is $75\%$ of the gain attained by selling the same article at Rs.$2532$. Find the cost price of the article. (In Rs.)
  5. When a plot is sold for Rs.$26980$, the owner loses $24\%$. At what price must that plot be sold in order to gain $24\%$? (In Rs.)
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