List price of a cooler is Rs 2563. The rate of VAT is 10%. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs 2563 inclusive  of  VAT. Find the discount in the price of the cooler.

Explanation

To solve the problem, we need to find the discount on the cooler such that the final price, including VAT, remains Rs 2563. Here’s how to approach the solution step by step:

### Step 1: Understand the relationship between the list price, VAT, and the final price.
The list price of the cooler is Rs 2563, and the VAT is 10%. This means that the final price (including VAT) is calculated based on the cost price before VAT is added.

### Step 2: Calculate the effective price before VAT.
Let the effective price before VAT be denoted as \( P \). The VAT is 10% of this price, so the final price can be expressed as:
\[
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