A boy bought 50 chocolates for Rs 1000. If the average price of 30 chocolates is Rs 25, then what is the average price (in Rs) of the remaining chocolates?

Options

A. 10
B. 12.5
C. 15
D. 17.5

Answer

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

1. **Calculate the total cost of chocolates**:
The boy bought 50 chocolates for Rs 1000.

2. **Calculate the average price of the first 30 chocolates**:
The average price of 30 chocolates is given as Rs 25.
Therefore, the total cost for these 30 chocolates is:
\[ \text{Total cost for 30 chocolates} = 30 \times 25 = Rs 750 \]

3. **Calculate the remaining amount spent on the remaining chocolates**:
The total amount spent on all chocolates is Rs 1000.
The remaining amount after buying the first 30 chocolates is:
\[ \text{Remaining amount} = 1000 - 750 = Rs 250 \]

4. **Determine the number of remaining chocolates**:
Since the boy bought a total of 50 chocolates and he has already bought 30, the number of remaining chocolates is:
\[ \text{Remaining chocolates} = 50 - 30 = 20 \]

5. **Calculate the average price of the remaining chocolates**:
The average price of the remaining 20 chocolates can be calculated as:
\[ \text{Average price of remaining chocolates} = \frac{\text{Remaining amount}}{\text{Remaining chocolates}} = \frac{250}{20} = Rs 12.5 \]

Thus, the average price of the remaining chocolates is Rs 12.5.