Question

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

Answer 1

Answer:

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

Step-by-step 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 % = $\dfrac{m.p - s.p}{m.p}$

Or, 40% = $\dfrac{m.p - s.p}{m.p}$

Or, 0.4 = 1 - $\dfrac{s.p}{m.p}$

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