A vendor buys pencils at Rs 25 per dozen and sells them at a rate of 5 pencils for Rs 12. Find his gain or loss percent?
A)15.2% gain
B)15% gain
C)15.2% loss
D)15% loss

Options

A. 15.2% gain
B. 15% gain
C. 15.2% loss
D. 15% loss

Answer

To solve the problem of finding the gain or loss percent for the vendor who buys and sells pencils, we can follow these steps:

### Step 1: Calculate the Cost Price (CP) for 60 pencils
The vendor buys pencils at Rs 25 per dozen. Since a dozen contains 12 pencils, we first find the cost for 60 pencils.

\[ \text{Cost Price (CP) for 12 pencils} = Rs 25 \]
\[ \text{Cost Price (CP) for 60 pencils} = \left(\frac{60}{12}\right) \times 25 = 5 \times 25 = Rs 125 \]

**Hint:** To find the cost for a different number of pencils, scale the cost of a dozen accordingly.

### Step 2: Calculate the Selling Price (SP) for 60 pencils
The vendor sells pencils at a rate of 5 pencils for Rs 12. We need to find out how much he earns from selling 60 pencils.

\[ \text{Selling Price (SP) for 5 pencils} = Rs 12 \]
\[ \text{Selling Price (SP) for 60 pencils} = \left(\frac{60}{5}\right) \times 12 = 12 \times 12 = Rs 144 \]

**Hint:** To find the selling price for a different number of pencils, scale the selling price for the given quantity.

### Step 3: Calculate the Profit
Now, we can find the profit by subtracting the cost price from the selling price.

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = 144 - 125 = Rs 19 \]

**Hint:** Profit is simply the difference between selling price and cost price.

### Step 4: Calculate the Gain Percent
To find the gain percent, we use the formula:

\[ \text{Gain Percent} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100 \]
\[ \text{Gain Percent} = \left(\frac{19}{125}\right) \times 100 = 15.2\% \]

**Hint:** Gain percent is calculated by dividing profit by cost price and multiplying by 100.

### Conclusion
The vendor has a gain of 15.2%. Therefore, the correct answer is:

**A) 15.2% gain**