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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 person incurs a loss of 10% by selling a watch for Rs. 450. At what price should the watch be sold to earn 10% profit?
  2. Two bikes were sold for a total of ₹ $1,50,000$. One bike was sold at $33\frac{1}{3}\%$ loss and the other at $20\%$ profit. The cost price of the first bike is equal to the selling price of the other bike. Find the over all loss.

  3. What will be the profit percentage on selling an article at a certain price if there is $30\%$ loss on selling the article at $\frac{3}{5}$ of the selling price?

  4. 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 :
  5. 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?
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