Question

a store is having a sale in which all items are reduced 20%. Including tax, Jennifer pail $21 for a pair of shorts. If the sales tax is 5%, what was the original price of the shorts

Answer 1

Answer:

$25.

Step-by-step explanation:

Let x be the original price of shorts.

We have been given that a store is having a sale in which all items are reduced 20%. The  sales tax is 5%.  

The price of shorts after 20% off will be:

$\text{ Price of shorts after discount}=x-\frac{20}{100}x$

$\text{ Price of shorts after discount}=x-0.2x$

$\text{ Price of shorts after discount}=0.8x$

Since tax is added after the discount, so the price of shorts after including the tax will be:

$0.8x+(\frac{5}{100}\times 0.8x)$

We are told that including tax, Jennifer paid $21 for a pair of shorts. So we can set an equation as:

$0.8x+(\frac{5}{100}\times 0.8x)=21$

Now let us solve for x.

$0.8x+(0.05\times 0.8x)=21$

$0.8x+0.04x=21$

$0.84x=21$

$\frac{0.84x}{0.84}=\frac{21}{0.84}$

$x=\frac{21}{0.84}$

$x=25$

Therefore, the original price of shorts was $25.