Cost price of a book is Rs 25. What should be the selling price (in Rs) of the book to gain 40% profit?

Options

A. 35
B. 38
C. 36
D. 33

Answer

To find the selling price of a book to achieve a 40% profit when the cost price is Rs 25, we can follow these steps:

### Step 1: Understand the formula for profit
The profit can be calculated using the formula:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]

### Step 2: Calculate the profit amount
To find the profit amount when the profit percentage is given, we use the formula:
\[ \text{Profit} = \left( \frac{\text{Profit Percentage}}{100} \right) \times \text{Cost Price} \]

Here, the profit percentage is 40% and the cost price (CP) is Rs 25.
\[ \text{Profit} = \left( \frac{40}{100} \right) \times 25 \]
\[ \text{Profit} = 0.4 \times 25 = 10 \]

### Step 3: Calculate the selling price
Now that we have the profit amount, we can find the selling price (SP) using the formula:
\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \]

Substituting the values we have:
\[ \text{Selling Price} = 25 + 10 = 35 \]

### Final Answer
The selling price of the book to gain a 40% profit should be Rs 35.

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