Amit goes to a shop to buy a washing machine. The marked price of the washing machine is Rs 10900 excluding 9% VAT. Amit bargains with the shopkeeper and convince him for Rs 10900 including VAT as the final cost of the washing machine. Find the amount reduced by the shopkeeper
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Given M.P. of washing machine = ₹ 10900, VAT = 9%
Let the amount r educed by the shopkeeper be ₹ x, then
final price including VAT = (10900 – x) + 9% of (10900 – x)
10900 = (10900 – x) + 9 x (10900 - x)/100
⇒ 10900 = (10900 – x) × 109/100
⇒ 10900 × 100 = 10900 × 109 – 109x
⇒ 109x = 10900 × 109 – 10900 × 100
⇒ x = 10900 x 9/109 = 900
∴ Amount reduced = ₹ 900.
Let the amount r educed by the shopkeeper be ₹ x, then
final price including VAT = (10900 – x) + 9% of (10900 – x)
10900 = (10900 – x) + 9 x (10900 - x)/100
⇒ 10900 = (10900 – x) × 109/100
⇒ 10900 × 100 = 10900 × 109 – 109x
⇒ 109x = 10900 × 109 – 10900 × 100
⇒ x = 10900 x 9/109 = 900
∴ Amount reduced = ₹ 900.
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