Percent Problem

A store charges $49 for a pair of pants.  This price is 40% more than the amount it costs the store to buy the pants.  After a sale, any employee is allowed to purchase any remaining pairs of pants at 30% off the store's cost.  How much would it cost an employee to purchase the pants after the sale?
A.)  $10.50
B.)  $12.50
C.)  $13.72
D.)  $24.50
E.)  $35.00

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$49 is 40% more than the amount it costs the store to buy the pants.

$49 is 140% of the stores price.

The formula a = pb  can be used to solve any percent problem.
a is the "part"
p is the percent {as a decimal}
b is the "whole"

Find what number 49 is 140% of.

49 = 1.4b   {substituted into percent formula}
b = 35   {divided each side by 1.4}

The store's price for the pants is $35.

Any employee is allowed to purchase any remaining pairs at 30% off the store's cost.

Find 30% of $35
a = 0.3(35)   {substituted into percent formula}
a = 10.5   {multiplied}

Any employee gets $10.5 off the store's price.

Employee price = $35 - $10.5
= $24.5   {subtracted}

D.)  $24.50

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