Ram bought bananas at 6 for a rupee. How many for a rupee must he sell to gain `20%`?

Options

A. 3
B. 4
C. 5
D. 6

Answer

To solve the problem step by step, we need to determine how many bananas Ram must sell for a rupee to achieve a 20% profit.

### Step 1: Determine the Cost Price (CP) of Bananas
Ram buys 6 bananas for 1 rupee. Therefore, the cost price (CP) of 6 bananas is:
\[ CP = 1 \text{ rupee} \]

### Step 2: Calculate the Selling Price (SP) for a 20% Profit
To find the selling price (SP) that gives a 20% profit, we can use the formula:
\[ SP = CP + \text{Profit} \]
Where profit is calculated as:
\[ \text{Profit} = \frac{20}{100} \times CP \]
Thus, substituting the values:
\[ \text{Profit} = \frac{20}{100} \times 1 = 0.20 \text{ rupees} \]
Now, substituting back into the SP formula:
\[ SP = 1 + 0.20 = 1.20 \text{ rupees} \]

### Step 3: Calculate the Selling Price per Banana
Since the selling price for 6 bananas is 1.20 rupees, we can find the selling price for one banana:
\[ \text{SP per banana} = \frac{1.20}{6} = 0.20 \text{ rupees} \]

### Step 4: Determine How Many Bananas to Sell for 1 Rupee
Now, we need to find out how many bananas he must sell for 1 rupee. This can be calculated by dividing 1 rupee by the selling price per banana:
\[ \text{Number of bananas} = \frac{1}{0.20} = 5 \]

### Conclusion
Ram must sell **5 bananas for 1 rupee** to achieve a 20% profit.

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