The cost price of a table and a chair together is Rs. 690. If the table costs 30% more than the chair, then find the cost price of the table and the chair respectively.

Understanding the Problem

We are given:
– The combined cost price of a table and a chair is Rs. 690.
– The table costs 30% more than the chair.

We need to find the individual cost prices of the table and the chair.

Solving the Problem

Let’s denote the cost price of the chair as \(C\) rupees.

Since the table costs 30% more than the chair, the cost price of the table is \(C + 0.30C = 1.30C\) rupees.

The combined cost price of the table and chair is given as Rs. 690, so we can write the equation:

\[ C + 1.30C = 690 \]

Simplifying:

\[ 2.30C = 690 \]

Dividing both sides by 2.30:

\[ C = \frac{690}{2.30} \]

\[ C = 300 \]

Now that we know the cost price of the chair is Rs. 300, we can find the cost price of the table:

\[ \text{Cost price of the table} = 1.30C = 1.30 \times 300 = 390 \]

Conclusion

The cost price of the table is Rs. 390, and the cost price of the chair is Rs. 300.