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A book was sold for Rs.150 with a profit of 12%. If it were sold for Rs.135 then what would have been the percentage of profit or loss?Options17%12%21%23%

Question

A book was sold for Rs.150 with a profit of 12%.

If it were sold for Rs.135 then what would have been the percentage of profit or loss?

Options:

  • 17%
  • 12%
  • 21%
  • 23%
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Solution

To solve this problem, we first need to find the cost price of the book.

Given that the book was sold for Rs.150 with a profit of 12%, we can use the formula:

Cost Price = Selling Price / (1 + Profit%)

Cost Price = 150 / (1 + 12/100) = Rs.133.93 (approximately)

Now, if the book was sold for Rs.135, we can calculate the new profit or loss percentage using the formula:

Profit or Loss% = ((Selling Price - Cost Price) / Cost Price) * 100

Profit or Loss% = ((135 - 133.93) / 133.93) * 100 = 0.8% (approximately)

Since the selling price is greater than the cost price, it's a profit. So, the profit is approximately 0.8%.

None of the options given (17%, 12%, 21%, 23%) match the calculated profit.

This problem has been solved

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