Math, asked by priyanshu72, 1 year ago

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

Answers

Answered by Michelle11
126
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.
Answered by shahjadakhushbu
68

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