Question

This week Gap is offering 40% off all shirts and 50% off all shorts. Katie purchased 3 shirts for $25.65 and one pair of shorts priced at $22.80. About how much did Rebecca pay for the sweaters and jeans before tax?

Answer 1

The amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

$\dfrac{a}{100} \times b$

We're specified that:

• Discount percent on shirts = 40%
• Discount percent on shorts = 50%
• The price of all 3 shirts = $25.65
• The price of one pair of shorts = $22.80

Before taxing, the price to be paid is real price (marked on the items) - discount offered on them.

Now, we get:
Price of each shirt is assumingly same, and so as for both of shorts. The discounts would be same for all shirts, and the discount will be same for all shorts.

So sum of discounted price = discount on summed price.
Thus, discoutned price of 3 shirts = 40% discount on $25.65

= $25.65 - 40% of $25.65

We get this:

$25.65 - \dfrac{25.65}{100} \times 40 = 25.65 \approx 0.6 = 15.39$ (in dollars)

Similarly, we get:

Discounted price of shorts=  $22.80 - 50% of %22.80 = 22.80 - 11.40 = 11.40 dollars

Thus, the total discounted price = discounted price of shirts and shorts= $15.39 + $11.40 = $26.79

Thus, the amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

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