Advertising in a magazine costs ? Rs 1472 `2/5` per square inch. Find the cost of an advertisement of 17 `6/7` ? square inch.

Answer

To solve the problem of finding the cost of an advertisement of \( 17 \frac{6}{7} \) square inches at a rate of \( 1472 \frac{2}{5} \) Rs per square inch, we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers into improper fractions.

1. **Convert \( 17 \frac{6}{7} \)**:
\[ 17 \frac{6}{7} = \frac{(17 \times 7) + 6}{7} = \frac{119 + 6}{7} = \frac{125}{7} \]

2. **Convert \( 1472 \frac{2}{5} \)**:
\[ 1472 \frac{2}{5} = \frac{(1472 \times 5) + 2}{5} = \frac{7360 + 2}{5} = \frac{7362}{5} \]

### Step 2: Calculate the Cost of the Advertisement
Now that we have both values as improper fractions, we can calculate the total cost of the advertisement.

3. **Cost Calculation**:
\[ \text{Cost} = \text{Area} \times \text{Rate} = \frac{125}{7} \times \frac{7362}{5} \]

### Step 3: Multiply the Fractions
To multiply the fractions, we multiply the numerators and the denominators:

4. **Numerator Calculation**:
\[ 125 \times 7362 = 920250 \]

5. **Denominator Calculation**:
\[ 7 \times 5 = 35 \]

6. **Combine the Results**:
\[ \text{Cost} = \frac{920250}{35} \]

### Step 4: Simplify the Fraction
Now we simplify \( \frac{920250}{35} \):

7. **Perform the Division**:
\[ 920250 \div 35 = 26307.14 \text{ (approximately)} \]

### Final Answer
Thus, the cost of the advertisement is approximately **Rs 26307.14**.

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