Question

Leo can buy a certain computer for p1 dollars in State A, where the sales tax is t1 percent,or he can buy the same computer for p2 dollars in State B, where the sales tax is t2 percent. Is the total cost of the computer greater in State A than in State B?(1) t1 > t2(2) p1t1 > p2t2

Answer 1

The price is more in state A than state B

Explanation:

LEo can buy a certain computer for
`p_(1)` dollars in State A where the sales tax is
`t_(1)` percent,or he can buy the same computer for
`p_(2)` dollars in State B, where the sales tax is
`t_(2)` percent.

We are supposed to find in which state the computer costs more.

It is given that,
`p_(1)t_(1)` >
`p_(2)t_(2)`

`t_(1)` >
`t_(1)`

The total price of the computer = original price + sales tax

= original price + original price
`*` tax

= p +
`p * t`

Total prices of both the computers are

• 
  `V_(1)` =
  `p_(1)t_(1)` +
  `p_(1)`

• 
  `V_(2)` =
  `p_(2)t_(2)` +
  `p_(2)`

Hence the price is more in state A than state B