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A man sold watch at 10% profit if he bought if at 10% less and sold if for rupee 15 more, he would have gained 25% . Find the cost price of watch.?
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A man sold watch at 10% profit if he bought if at 10% less and sold if...
Problem Statement

A man sold a watch at a 10% profit. If he bought it at 10% less and sold it for Rs. 15 more, he would have gained 25%. Find the cost price of the watch.


Step-by-Step Solution


  1. Let's assume that the cost price of the watch is x.

  2. The man sold the watch at a 10% profit, which means he sold it at 1.1x.

  3. If he had bought it at 10% less, he would have bought it at 0.9x.

  4. If he sold it for Rs. 15 more, he would have sold it at 1.1x + 15.

  5. According to the question, if he had bought it at 0.9x and sold it at 1.1x + 15, he would have gained a 25% profit.

  6. So, (1.1x + 15 - 0.9x)/0.9x * 100 = 25%

  7. Simplifying the equation, we get 0.2x + 15 = 2.25x

  8. Therefore, x = 200



Answer

The cost price of the watch is Rs. 200.
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A man sold watch at 10% profit if he bought if at 10% less and sold if for rupee 15 more, he would have gained 25% . Find the cost price of watch.?
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