Given,
Cost of the cooler is = Rs 2563
VAT = 10%
Let the reduced price of the radio after discount be Rs x.
Then,
VAT = 10% of x = Rs 10x/100
So, SP = Rs (x+10x/100) = Rs 110x/100
It is given that the selling price should be Rs 2563
110x/100 = 2563
110x = 2563 × 100
x = 256300/110
= 2330
Reduced price of the cooler after discount = Rs 2330
∴ Discount needed in the price of the cooler is Rs (2563 – 2330) = Rs 233