Varun bought some erasers at the rate of ₹150/dozen. He sold them for ₹18 each. His profit percentage is ______%.

The correct option is 44.

Let's solve the problem step-by-step to find the profit percentage.

Step 1: Calculate the Cost Price (CP) per eraser

Varun bought erasers at the rate of ₹150 per dozen. Since 1 dozen contains 12 items, the cost price of 12 erasers is ₹150.

Cost Price of 1 eraser =

$\frac{150}{12}=12.5$

So, the Cost Price (CP) of each eraser is ₹12.50.

Step 2: Note the Selling Price (SP) per eraser

The Selling Price (SP) of 1 eraser is given as ₹18.

Step 3: Calculate the Profit per eraser

Profit = Selling Price - Cost Price

Profit =

$18-12.5=5.5$

So, the profit made on selling each eraser is ₹5.50.

Step 4: Calculate the Profit Percentage

The formula to find the profit percentage is:

$\text{Profit Percentage}=\left(\frac{\text{Profit}}{\text{Cost Price}}\right)\times 100$

Substituting the values into the formula:

$\text{Profit Percentage}=\left(\frac{5.5}{12.5}\right)\times 100$

Simplifying the fraction:

$\frac{5.5}{12.5}=\frac{55}{125}=\frac{11}{25}$

Now, multiply by 100:

$\text{Profit Percentage}=\frac{11}{25}\times 100=11\times 4=44\%$

Therefore, Varun's profit percentage is 44%.