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Ex 7.2, 4 I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.Given Amount Paid (Bill Amount) = 5400 Vat Percentage = 8% Let the Original Price = 𝑥 Tax Amount = Vat Percentage × Original Price = 8% × 𝑥 = 8/100 × 𝑥 = 𝟖𝒙/𝟏𝟎𝟎 Now, Bill amount = Original Price + Tax Amount 5400 = 𝑥 + 𝟖𝒙/𝟏𝟎𝟎 5400 = (100𝑥 + 8𝑥)/100 5400 = (108 𝑥)/100 (5400 × 100)/108 = 𝑥 (2700 ×100)/54 = 𝑥 (1350 × 100)/27 = 𝑥 (450 ×100)/9 = 𝑥 50 × 100 = 𝑥 5000 = 𝑥 ∴ 𝑥 = 5000 ∴ Original Price = Rs 5000

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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