Question

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

A. 74-[(0.4x74)-(74x0.07)]
B. 74-(74x0.37
C. 74 +(0.4x74)+(74x0.07
D. 74-(0.4x74)x(1.07)

Answer 1

It is D. 74-(0.4x74)x(1.07)

Explanation:

Believe me, I am right.

Answer 2

The expression for the given discount on item is 74 - [0.4 × 74 + 1.07 × 74]

Explanation:

Given as :

The market price of item = m.p = $74

The discount percentage on item = 40%

The sale tax added = 7%

The selling price = s.p = $74 + 7% of $74

I.e s.p = 1.07 × 74

Now, from discount

d % =
`(m.p - s.p)/(m.p)`

Or, 40% =
`(m.p - s.p)/(m.p)`

Or, 0.4 = 1 -
`(s.p)/(m.p)`

Or, 0.4 × 74 = ( 74 ) - (1.07 × 74)

Or, 74 - (1.07 × 74) - 0.4 × 74 = 0

Or, 74 - 74 (1.07 + 0.4) = 0

Or, 74 - [0.4 × 74 + 1.07 × 74] = 0

Hence, The expression for the given discount on item is 74 - [0.4 × 74 + 1.07 × 74] . Answer