The price of Shirts at Sahara Ganj is defined as rs`(100+10x^2)`, where x is the number of shirts. Mallika purchased 5 shirts from the above shop. The average price of a shirts is :

Options

A. 70
B. 50
C. 75
D. none of these

Answer

To find the average price of the shirts that Mallika purchased, we can follow these steps:

1. **Determine the price of one shirt**: The price of shirts is given by the formula \( P(x) = 100 + 10x^2 \), where \( x \) is the number of shirts. Since Mallika purchased 5 shirts, we will substitute \( x = 5 \) into the formula.

\[ P(5) = 100 + 10(5^2) \]

2. **Calculate \( 5^2 \)**:

\[ 5^2 = 25 \]

3. **Substitute \( 25 \) back into the price formula**:

\[ P(5) = 100 + 10(25) \]

4. **Calculate \( 10 \times 25 \)**:

\[ 10 \times 25 = 250 \]

5. **Add \( 100 \) and \( 250 \)**:

\[ P(5) = 100 + 250 = 350 \]

6. **Find the average price of the shirts**: Since Mallika bought 5 shirts, we need to divide the total price by the number of shirts:

\[ \text{Average Price} = \frac{P(5)}{5} = \frac{350}{5} \]

7. **Calculate \( \frac{350}{5} \)**:

\[ \frac{350}{5} = 70 \]

Thus, the average price of the shirts is **Rs. 70**.