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?Options21%23%17%12%
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?Options21%23%17%12%
Solution
To solve this problem, we first need to find the cost price of the book.
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We know that the book was sold for Rs.150 with a profit of 12%. This means that 112% of the cost price is Rs.150.
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To find the cost price, we can set up the equation: 112/100 * cost price = Rs.150. Solving for the cost price gives us Rs.150 * 100/112 = Rs.133.93 approximately.
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Now, if the book were sold for Rs.135, we need to find the profit or loss percentage.
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The profit or loss can be calculated as: (Selling price - Cost price)/Cost price * 100%.
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Substituting the given values, we get: (Rs.135 - Rs.133.93)/Rs.133.93 * 100% = 0.8% approximately.
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Since the selling price is more than the cost price, it's a profit. So, the profit percentage is 0.8%.
None of the options given (21%, 23%, 17%, 12%) match the calculated profit percentage. There might be a mistake in the options provided.
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