Final answer:
To find the discount amount, set up an equation using the original price of the item and the percentages for the discount and VAT charges. Solve the equation to find the original price and then subtract the final sale price to find the discount amount.
Step-by-step explanation:
To find the discount amount, we first need to find the original price of the item before the discount and VAT charges were applied. Let's call this price 'x'.
Given that after allowing a 10% discount and a ₹134 charge of VAT, the item was sold for ₹2034, we can set up the following equation:
x - (10/100)x + 134 = 2034
Simplifying the equation, we get:
0.9x + 134 = 2034
Subtracting 134 from both sides of the equation, we get:
0.9x = 1900
Dividing both sides of the equation by 0.9, we get:
x = 1900/0.9
Calculating this, we find that the original price of the item before any discounts or VAT charges were applied is ₹2111.11.
Now, to find the discount amount, we can subtract the final sale price from the original price:
Discount amount = ₹2111.11 - ₹2034 = ₹77.11