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A person buys a book for 85 and sells it...

A person buys a book for 85 and sells it for 98.60. Find the profit percent.

A

6

B

12

C

16

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the profit percent when a person buys a book for 85 and sells it for 98.60, we can follow these steps: ### Step 1: Identify the Cost Price (CP) and Selling Price (SP) - The cost price (CP) of the book is given as 85. - The selling price (SP) of the book is given as 98.60. ### Step 2: Calculate the Profit - Profit can be calculated using the formula: \[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \] - Substituting the values: \[ \text{Profit} = 98.60 - 85 = 13.60 \] ### Step 3: Calculate the Profit Percentage - The profit percentage can be calculated using the formula: \[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \] - Substituting the values: \[ \text{Profit Percentage} = \left( \frac{13.60}{85} \right) \times 100 \] - Performing the division: \[ \frac{13.60}{85} \approx 0.160 \] - Now, multiply by 100 to get the percentage: \[ \text{Profit Percentage} \approx 0.160 \times 100 = 16\% \] ### Conclusion - The profit percentage is 16%.
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