Example 5 (Value Added Tax (VAT)) Waheeda bought an air cooler for Rs 3300 including a tax of 10%. Find the price of the air cooler before VAT was added. Given,
Amount Paid (Bill Amount) = 3300
Tax Percentage = 10%
Let the original Price = x
Tax Amount = Vat Percentage × Price
= 10% × 𝑥
= 10/100 × 𝑥
= 𝟏/𝟏𝟎 × 𝑥
Now,
Bill Amount = Price + Tax Amount
3300 = 𝒙 + 𝟏/𝟏𝟎 𝒙
3300 = (10𝑥 + 𝑥)/10
3300 = 𝟏𝟏𝒙/𝟏𝟎
(3300 × 10)/11 = 𝑥
3000 = 𝑥
𝒙 = 3000
∴ Original Price = Rs 3000
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
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