Karan bought 5 pairs of socks and 4 belts . A pair of socks cost half as much as a belt . If each belt costs Rs 38.50 , then how much did Karan spend altogether ?

Options

A. Rs 269.50
B. Rs 346.50
C. Rs 250.25
D. Rs 549

Answer

To find out how much Karan spent altogether on socks and belts, we can break the problem down into a series of steps.

### Step 1: Determine the cost of one belt.
We know from the problem that each belt costs Rs 38.50.

### Step 2: Determine the cost of one pair of socks.
The problem states that a pair of socks costs half as much as a belt. Therefore, we can calculate the cost of one pair of socks as follows:
\[ \text{Cost of one pair of socks} = \frac{\text{Cost of one belt}}{2} = \frac{38.50}{2} = 19.25 \text{ Rs} \]

### Step 3: Calculate the total cost of 5 pairs of socks.
Karan bought 5 pairs of socks, so we multiply the cost of one pair by 5:
\[ \text{Total cost of 5 pairs of socks} = 5 \times 19.25 = 96.25 \text{ Rs} \]

### Step 4: Calculate the total cost of 4 belts.
Karan bought 4 belts, so we multiply the cost of one belt by 4:
\[ \text{Total cost of 4 belts} = 4 \times 38.50 = 154.00 \text{ Rs} \]

### Step 5: Calculate the total amount spent by Karan.
Now, we add the total cost of the socks and the total cost of the belts:
\[ \text{Total amount spent} = \text{Total cost of socks} + \text{Total cost of belts} \]
\[ \text{Total amount spent} = 96.25 + 154.00 = 250.25 \text{ Rs} \]

Thus, Karan spent a total of Rs 250.25.