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Amit bought a TV for Rs. 17,280 at a discount of `20%` followed by a `20%` sales tax. Had a `10%` discount been offered instead, followed by a `10%` sales tax, he would have bought it at a price which, including the sales tax, would have been _________ .A. Rs. 170 lessB. Rs. 140 lessC. Rs. 280 moreD. Rs. 540 more

Answer» Let the list price of the TV be Rs.k.
The final price of the TV=Rs.17,280.
`:.Rs.k.(k-(20)/(100))(1+(20)/(100))=Rs.17,280`
`k=(17,280)/((0.8)(1.2))=(17,280)/(0.96)`
`=(17,280)/(96)(100)=1800`
In the hypothetical case, the final price of the TV (in Rs.) would have been
`=18,000(1-(10)/(100))(1+(10)/(100))`
=18,000(0.9)(1.1)
=16,200(1.1)=17,820. This is Rs.540 more than the actual price paid.


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