On selling a tea-set 5% loss and a lemon-set at 15% gain, a crockery seller gains Rs. 7. If he sells the tea-set at 5% gain and the lemon-set at 10% gain, he gains Rs. 13. Find the actual price of the tea-set and the lemon-set.

Explanation

To solve the problem, we will set up a system of equations based on the information given in the question.

Let:
- \( T \) = actual price of the tea-set
- \( L \) = actual price of the lemon-set

### Step 1: Formulate the first equation
From the problem, we know that selling the tea-set at a 5% loss and the lemon-set at a 15% gain results in a total gain of Rs. 7.
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