Question

Which expression can be used to show a 40% discount on an item costing $74 plus 7% tax?

Answer 1

The final price inculding tax after discount is $ 47 and expression used is:

Required expression = price of item - discount price + tax on item

Solution:

Given that 40% discount on an item costing $74 plus 7% tax

So cost of item = $ 74

Tax = 7 %

Discount = 40 %

The expression which can be used to find price after discount including tax is:

Required expression = price of item - discount price + tax on item

Let us first find the price after discount

Price after discount = cost of item - 40 % of cost of item

Price after discount = 74 - 40 % of 74

Thus the price after discount is approximately $ 44

Now tax is 7 % which means 7 % of $ 44

Price including tax = 44 + 7 % of 44

Price including tax =

Thus the final price inculding tax after discount is $ 47

Answer 2

The final price inculding tax after discount is $ 47 and expression used is:

Required expression = price of item - discount price + tax on item

Solution:

Given that 40% discount on an item costing $74 plus 7% tax

So cost of item = $ 74

Tax = 7 %

Discount = 40 %

The expression which can be used to find price after discount including tax is:

Required expression = price of item - discount price + tax on item

Let us first find the price after discount

Price after discount = cost of item - 40 % of cost of item

Price after discount = 74 - 40 % of 74

`= 74 - (40)/(100) * 74\\\\= 74 - 29.6 = 44.4`

Thus the price after discount is approximately $ 44

Now tax is 7 % which means 7 % of $ 44

Price including tax = 44 + 7 % of 44

Price including tax =
`44 + (7)/(100) * 44 = 44 + 3.08 = 47.08`

Thus the final price inculding tax after discount is $ 47