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Question

Mia goes for shopping to buy a dress which costs ₹ 1809. The rate of sales tax is 8%. She tells the shopkeeper to reduce the price to such an extent that she has to pay ₹ 1809, inclusive of sales tax. Find the reduction needed in the price of the dress.


A

Rs.134

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B

Rs.254

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C

Rs.180

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D

Rs.144

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Solution

The correct option is A

Rs.134


Let the cost of the coat be reduced to ₹ x

Sales tax = 8% of x = (8100)×x = ₹ 2x25

Amount paid by Mia = ₹ (x+2x25) = ₹ 27x25

As per problem, 27x25 =1809

Or, x = (2527)× 1809 = 1675

Reduced price of the coat = ₹ 1675

Hence, reduction needed = ₹ 1809 – ₹ 1675 = ₹ 134.


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