Which expression can be used to show a 40% discount on an item costing $74 plus 7% tax?
a. 74-[(0..07)]
b. 74-(74x0.37
c. 74 +(0.4x74)+(74x0.07
d. 74-(0.4x74)x(1.07)

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 % =

Or, 40% =

Or, 0.4 = 1 -

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

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