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A person loses 35 percent on selling a book for Rs. 2860. At what price should he sell the book to earn a profit of 20 percent?
Question

A person loses 35 percent on selling a book for Rs. 2860. At what price should he sell the book to earn a profit of 20 percent?

A.

Rs. 5460

B.

Rs. 6460

C.

Rs. 5280

D.

Rs. 5540

Correct option is C

Given:
Selling price at a 35% loss, SP = 2860  
Required profit = 20%
Concept Used:
The cost price (CP) can be calculated from the selling price and the loss percentage.
Once the cost price is known, we can calculate the new selling price needed to achieve the desired profit percentage.
Formula used: 
Selling Price (SP)=Cost price (CP)×(1Loss percentage100) solution: 2860=CP×(135100) CP=2860×10065 CP=4400New Selling price=CP×(1+Profit100) =4400×120100 4400×1.20 =5280\text{Selling Price (SP)} = \text{Cost price (CP)}\times (1 - \frac{\text{Loss percentage}}{100})\\ \ \\\bold{solution:}\\ \ \\2860=CP\times(1-\frac{35}{100})\\ \ \\CP=\frac{2860\times100}{65}\\ \ \\CP=4400\\ \text{New Selling price}=CP\times(1+\frac{Profit}{100})\\ \ \\=4400\times\frac{120}{100}\\ \ \\4400\times1.20\\ \ \\=5280 
Thus correct option is (c).

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