The price of a table and a chair are in the ratio `7 : 5`. If a table costs Rs. 480 more than the chair, then the price of the chair is______ .

Options

A. Rs. 600
B. Rs. 1000
C. Rs. 1200
D. Rs. 1800

Answer

To solve the problem, we need to find the price of the chair given the ratio of the prices of the table and chair and the additional information about the cost difference.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The price of the table (T) and the price of the chair (C) are in the ratio of 7:5. This means:
\[ \frac{T}{C} = \frac{7}{5} \]
We can express T in terms of C:
\[ T = \frac{7}{5}C \]

2. **Set Up the Equation**:
We know that the table costs Rs. 480 more than the chair. Therefore, we can write:
\[ T = C + 480 \]

3. **Substitute T in the Equation**:
Now we can substitute the expression for T from step 1 into the equation from step 2:
\[ \frac{7}{5}C = C + 480 \]

4. **Clear the Fraction**:
To eliminate the fraction, multiply the entire equation by 5:
\[ 7C = 5C + 2400 \]

5. **Solve for C**:
Now, subtract 5C from both sides:
\[ 7C - 5C = 2400 \]
\[ 2C = 2400 \]
Now, divide both sides by 2:
\[ C = 1200 \]

6. **Conclusion**:
The price of the chair is Rs. 1200.

### Final Answer:
The price of the chair is Rs. 1200.