a man sells a radio set a gain of 5 %.had he sold it for rs.490 less,he would have lost 2 %.find the c.p of the radio set.

To find the cost price (C.P.) of the radio set, we can use the concept of percentages and profit or loss calculations. Let's break down the problem step by step:

1. Let's assume the cost price of the radio set is "x" rupees.

2. The given information states that the man sold the radio set with a 5% gain. This means he sold it for 105% of the cost price (C.P.). Therefore, the selling price (S.P.) of the radio set is 105% of "x", which is 1.05x.

3. If he had sold the radio set for Rs. 490 less, he would have incurred a loss of 2%. This means he would have sold it for 98% of the cost price (C.P.). Therefore, the new selling price (S.P.) of the radio set is 98% of "x", which is 0.98x.

4. The difference between the original selling price (1.05x) and the adjusted selling price (0.98x) is Rs. 490.

So, (1.05x) - (0.98x) = Rs. 490.

5. Solving the equation:
0.07x = Rs. 490.

Dividing both sides of the equation by 0.07:
x = Rs. 7000.

Therefore, the cost price (C.P.) of the radio set is Rs. 7000.