After allowing 10% discount on the marked price of a machine and then levying 10% VAT,the final price of machine becomes Rs 99,000. Find the marked price of the machine.
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Given,
The discount percentage on the marked price = 10%
The VAT percentage = 10%
Final price = Rs. 99000
To find,
The marked price of the machine.
Solution,
Let, the marked price of the machine = Rs. x
(Assume x as a variable to do the further mathematical calculations.)
Discounted price = x - (x×10/100) = x - x/10 = Rs. 9x/10
Final price including VAT = 9x/10 + (9x/10 × 10/100) = 9x/10 + 9x/100 = 90x+9x/100 = Rs. 99x/100
According to the data mentioned in the question,
99x/100 = 99000
x = 99000×100/99
x = 100000
Hence, the price of the marked price of the machine is Rs. 100000.
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