The marked price of an article is Rs 2080. After allowing d% discount and levying (d-2)% VAT, the cost of an article becomes Rs 1997.84. Find the discount amount and VAT amount.
Discount amount = Rs 82.16
VAT amount = Rs 16.64
Same
Let's assume that the discount percentage is 'd' and the VAT percentage is 'd-2'.
Step 1: Calculate the discount amount:
The selling price of the article after the discount is Rs. 1997.84.
Let's assume the original price (marked price) is 'M'.
The selling price of the article after the discount is given by:
Selling Price = Marked Price - Discount Amount
1997.84 = 2080 - Discount Amount
To find the discount amount, subtract the selling price from the marked price:
Discount Amount = Marked Price - Selling Price
Discount Amount = 2080 - 1997.84
The discount amount is Rs. 82.16.
Step 2: Calculate the VAT amount:
The selling price after levying VAT is Rs. 1997.84.
Let's calculate the cost price (CP) of the article before the VAT is levied.
Cost Price + VAT Amount = Selling Price
Let's assume the cost price is 'C'.
C + (d-2)% of C = 1997.84
To find the VAT amount, we need to first calculate the cost price of the article:
C = (100 * Selling Price) / (100 + d-2)
C = (100 * 1997.84) / (100 + (d-2))
Now, substitute the value of C in the equation for VAT amount:
VAT Amount = (d-2)% of C
VAT Amount = ((d-2)/100) * C
Substitute the value of C into the above equation:
VAT Amount = ((d-2)/100) * (100 * Selling Price) / (100 + (d-2))
VAT Amount = ((d-2)/100) * (100 * 1997.84) / (100 + (d-2))
Simplifying this equation will give you the VAT amount.
Please provide the value of 'd' to calculate the VAT amount.
To find the discount amount and VAT amount, we need to follow these steps:
Step 1: Let's assume the discount percentage as 'd'.
Step 2: Given the marked price of the article is Rs 2080.
Step 3: We can calculate the discounted price after applying a 'd%' discount.
- Discounted Price = Marked Price - (Discount Percentage * Marked Price)
Substituting the given values: Discounted Price = 2080 - (d/100 * 2080)
Simplifying, Discounted Price = 2080 - (2080d/100)
Step 4: Now, we need to find the 'd-2%' VAT on the discounted price.
- VAT Amount = (VAT Percentage * Discounted Price) / 100
Substituting the given values: VAT Amount = ((d-2)/100) * Discounted Price
Simplifying, VAT Amount = ((d-2)/100) * (2080 - (2080d/100))
Given that the final cost of the article is Rs 1997.84, we can set up the equation:
Discounted Price - VAT Amount = Final Cost
(2080 - (2080d/100)) - ((d-2)/100) * (2080 - (2080d/100)) = 1997.84
Now, let's solve this equation to find the values of discount and VAT.
2080 - (2080d/100) - ((d-2)/100) * (2080 - (2080d/100)) = 1997.84
Simplifying the equation, we get:
2080 - (20.8d) - (d-2)/100) * (2080 - (20.8d)) = 1997.84
Now, solve this equation for 'd' to find the discount percentage.
After finding 'd', substitute this value back into the equation to find the VAT amount:
VAT Amount = ((d-2)/100) * (2080 - (2080d/100))
So, follow these steps to calculate the discount amount and VAT amount.