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Profit earned on selling a book for Rs450 is the same as the loss incurred on selling it for Rs390. Find the cost price of the book.
Rs380
Rs460
Rs360
Rs420
- Let the cost price of the book be Rs x.
- Selling at Rs 450 provides a profit of (450 - x).
- Selling at Rs 390 results in a loss of (x - 390).
- Given the profit and loss amounts are equal: 450 - x = x - 390.
- Solving the equation: 450 + 390 = 2x.
- So, 840 = 2x, which gives x = Rs 420.
- Option 1: Rs 380 is incorrect since it does not satisfy the equation.
- Option 2: Rs 460 is incorrect as it makes the selling prices yield inexplicable results.
- Option 3: Rs 360 is incorrect for the same reason as option 1.
- Option 4: Rs 420 is the correct answer.
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