Rita buys 5 sarees at an average cost of Rs 2250. If she buys three more sarees at an average cost of Rs 2750, what will be the average (in Rs) of all the sarees she buys?

Options

A. `2437.5`
B. 2500
C. 2450
D. `2332.5`

Answer

To find the average cost of all the sarees that Rita buys, we can follow these steps:

### Step 1: Calculate the total cost of the first 5 sarees.
The average cost of the first 5 sarees is Rs 2250.
To find the total cost, we multiply the average cost by the number of sarees:

\[ \text{Total cost of first 5 sarees} = \text{Average cost} \times \text{Number of sarees} = 2250 \times 5 = 11250 \]

### Step 2: Calculate the total cost of the next 3 sarees.
The average cost of the next 3 sarees is Rs 2750.
Again, we multiply the average cost by the number of sarees:

\[ \text{Total cost of next 3 sarees} = \text{Average cost} \times \text{Number of sarees} = 2750 \times 3 = 8250 \]

### Step 3: Calculate the total cost of all sarees.
Now, we add the total costs of the first 5 sarees and the next 3 sarees:

\[ \text{Total cost of all sarees} = \text{Total cost of first 5 sarees} + \text{Total cost of next 3 sarees} = 11250 + 8250 = 19500 \]

### Step 4: Calculate the total number of sarees.
Rita bought a total of:

\[ \text{Total number of sarees} = 5 + 3 = 8 \]

### Step 5: Calculate the average cost of all sarees.
Finally, we find the average cost of all the sarees by dividing the total cost by the total number of sarees:

\[ \text{Average cost of all sarees} = \frac{\text{Total cost of all sarees}}{\text{Total number of sarees}} = \frac{19500}{8} = 2437.5 \]

Thus, the average cost of all the sarees that Rita buys is **Rs 2437.5**.

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