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.
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.