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%
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.
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