A dozen pairs of socks quoted at 180 are available at discount of 20%. How many pairs of socks can be bought for 48?

Options

A. 3 pairs
B. 4 pairs
C. 2 pairs
D. 5 pairs

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the selling price after discount
The original price for a dozen pairs of socks is given as 180. There is a discount of 20%.

First, we need to find out how much the discount is:
\[ \text{Discount} = \text{Original Price} \times \frac{\text{Discount Percentage}}{100} = 180 \times \frac{20}{100} = 180 \times 0.2 = 36 \]

Now, we subtract the discount from the original price to find the selling price:
\[ \text{Selling Price} = \text{Original Price} - \text{Discount} = 180 - 36 = 144 \]

### Step 2: Calculate the price per pair of socks
Since there are 12 pairs of socks in a dozen, we can find the price per pair:
\[ \text{Price per pair} = \frac{\text{Selling Price}}{\text{Number of pairs}} = \frac{144}{12} = 12 \]

### Step 3: Determine how many pairs can be bought for 48
Now, we need to find out how many pairs of socks can be bought for 48:
\[ \text{Number of pairs} = \frac{\text{Total Amount}}{\text{Price per pair}} = \frac{48}{12} = 4 \]

### Final Answer
Thus, the number of pairs of socks that can be bought for 48 is **4 pairs**.

---