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Mrs. Sheela Bought a Washing Machine Marked at Rs. 9,375. the Rate of Sales Tax is 6%. She Asks the Shopkeeper to Reduce the Price of the Washing Machine to Such an Extent that She Has to -

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Question

Mrs. Sheela bought a washing machine marked at Rs. 9,375. The rate of sales tax is 6%. She asks the shopkeeper to reduce the price of the washing machine to such an extent that she has to pay Rs. 9,275 inclusive of sales tax. Find the reduction needed in the price of the washing machine.

Solution

Selling price inclusive of sales tax = Rs. 9,275
Rate of sales tax = 6%
Let reduced price be Rs. x
x + 6% of x = 9,275
⟹`(106x)/100`= 9,275
⟹ x = 8,750
Price reduction needed in the marked price
= Rs. 9,375 − Rs. 8,750 = Rs. 625

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