On selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains Rs. 2000. But if he sells the T.V. at 10% gain and the fridge at 5% loss. he gains Rs. 1500 on the transaction. Find the actual prices of T.V. and fridge.

Explanation

To solve the problem, we need to set up a system of equations based on the information provided.

Let:
- \( X \) = cost price of the TV
- \( Y \) = cost price of the fridge

### Step 1: Formulate the first equation
The first scenario states that when the TV is sold at a 5% gain and the fridge at a 10% gain, the total gain is Rs. 2000.
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