Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His gain per cent is

Options

A. 0.3
B. 0.4
C. 0.5
D. 1.5

Answer

To solve the problem of Ravi's gain percentage from buying and selling toffees, we can follow these steps:

### Step 1: Determine the Cost Price (CP) of One Toffee
Ravi buys 5 toffees for Rs. 1. Therefore, the cost price of one toffee can be calculated as follows:

\[ \text{Cost Price of 1 Toffee} = \frac{1 \text{ Rupee}}{5 \text{ Toffees}} = 0.20 \text{ Rupees} \]

### Step 2: Determine the Selling Price (SP) of One Toffee
Ravi sells 2 toffees for Rs. 1. Therefore, the selling price of one toffee can be calculated as follows:

\[ \text{Selling Price of 1 Toffee} = \frac{1 \text{ Rupee}}{2 \text{ Toffees}} = 0.50 \text{ Rupees} \]

### Step 3: Calculate the Gain
To find the gain, we subtract the cost price from the selling price:

\[ \text{Gain} = \text{Selling Price} - \text{Cost Price} = 0.50 \text{ Rupees} - 0.20 \text{ Rupees} = 0.30 \text{ Rupees} \]

### Step 4: Calculate the Gain Percentage
The gain percentage can be calculated using the formula:

\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Gain Percentage} = \left( \frac{0.30}{0.20} \right) \times 100 = 1.5 \times 100 = 150\% \]

### Final Answer
Ravi's gain percentage is **150%**.

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