Fruit Seller Average Amount Calculation

This problem involves calculating the average amount received by a fruit seller after selling two types of fruits: apples and grapes. We need to find the total earnings from selling all the fruits and then divide it by the total quantity of fruits sold to get the average amount.

Calculating Total Sales Amount

First, let's calculate the total amount of money the fruit seller received from selling both apples and grapes.

1. Earnings from Apples

The seller had 10 kg of apples, and the price was ₹94.50 per kg.

Amount from apples = Quantity of apples $\times$ Price per kg of apples

Amount from apples = $10 \text{ kg} \times ₹94.50/\text{kg}$

Amount from apples = $₹945.00$

2. Earnings from Grapes

The seller had 5 kg of grapes, and the price was ₹105 per kg.

Amount from grapes = Quantity of grapes $\times$ Price per kg of grapes

Amount from grapes = $5 \text{ kg} \times ₹105/\text{kg}$

Amount from grapes = $₹525.00$

3. Total Earnings

The total earnings are the sum of the amounts received from selling apples and grapes.

Total Earnings = Amount from apples + Amount from grapes

Total Earnings = $₹945.00 + ₹525.00$

Total Earnings = $₹1470.00$

Calculating Total Quantity of Fruits

Next, we find the total weight of all the fruits the seller sold.

Total Quantity = Quantity of apples + Quantity of grapes

Total Quantity = $10 \text{ kg} + 5 \text{ kg}$

Total Quantity = $15 \text{ kg}$

Determining Average Amount Received

The average amount received is calculated by dividing the total earnings by the total quantity of fruits sold.

Average Amount = $\frac{\text{Total Earnings}}{\text{Total Quantity}}$

Average Amount = $\frac{₹1470.00}{15 \text{ kg}}$

Average Amount = $₹98.00$

Therefore, the average amount received by the fruit seller per kg of fruit sold is ₹98.