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ACT Math : How to find the sale price

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Example Question #21 : How To Find The Sale Price

A shirt was originally $\$15$ , but the manager of the store decided to mark it down by $20\%$ . What is the new cost of the shirt after this?

Possible Answers:

$\$18$

$\$12.5$

$\$12$

$\$3$

$\$13.75$

Correct answer:

$\$12$

Explanation:

There are two ways to do a question like this. The first is to find out what the $20\%$ markdown is. We do this by multiplying:

15*0.2 to get

Then, you subtract this from to get .

The other way to solve this is to notice that the total cost of the shirt will be only $80\%$ of the original price. Therefore, you can multiply by 0.8 to get as well.

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Example Question #22 : How To Find The Sale Price

A $\$140$ book is marked down by $25\%$ and then by another $10\%$ . What is its final sale cost?

Possible Answers:

$\$89.50$

$\$91$

$\$99.75$

$\$94.50$

$\$93.45$

Correct answer:

$\$94.50$

Explanation:

A $\$140$ book is marked down by $25\%$ and then by another $10\%$ . What is its final sale cost?

You can do a problem like this two ways. For the first way, you can first multiply:

140*0.25 to get

Subtracting this from 140 , you get a price of 105 .

Now, you do the same thing again for the $10\%$ :

105*0.1=10.5

Subtracting this from 105 , you get 94.5 .

The easier way to do problems like this is to notice that after the $25\%$ discount, the price will be $75\%$ of the original. Then, after the $10\%$ discount, it will be $90\%$ of that altered price. You can just multiply sequentially to get your amount:

140*0.75*0.9=94.5

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Example Question #23 : How To Find The Sale Price

James goes to the store to buy a new pair of shoes. He sees a pair he likes for $\$72.99$ that are marked $20\%$ off. Ignoring sales tax, how much does James pay for the shoes? Round to the nearest cent.

Possible Answers:

$\$91.24$

$\$14.59$

$\$58.39$

$\$14.60$

$\$52.99$

Correct answer:

$\$58.39$

Explanation:

To find how much is remaining after $20\%$ is taken off, subtract $20\%$ from $100\%$ (the total price of the original pair of shoes) and multiply it by the shoe's price.
$\$72.99*.8=58.392$ which rounds to $\$58.39$

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Example Question #21 : How To Find The Sale Price

How much do you save if you bought a shirt that normally costs 19.99 at a 25% discount? Ignore sales tax and round your answer to the nearest cent.

Possible Answers:

$\$15$

$\$5$

$\$15.01$

$\$4.99$

$\$25$

Correct answer:

$\$5$

Explanation:

To find how much money you save on a sale. Turn the sale percentage into a decimal and multiply it by the normal price:
$\$19.99*.25 = \$4.9975 = \$5$

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Example Question #25 : How To Find The Sale Price

Denzel is going to the store to buy a guitar. He sees one he likes that's listed at $\$79.99$ but on sale for $20\%$ off. How much will Denzel pay if he chooses to buy the guitar (ignore sales tax, round to the nearest cent)?

Possible Answers:

$\$63.99$

$\$59.99$

$\$16.00$

$\$99.99$

$\$65.99$

Correct answer:

$\$63.99$

Explanation:

To find the sales price of an item given that it is $20\%$ off, first subtract $20\%$ from $100\%$ . This gives $80\%$ , which means Denzel is paying for $80\%$ of the guitar's original price. Next, convert that into a decimal and multiply by the guitar's cost:

$80\% \rightarrow .8 \rightarrow .8*79.99 = 63.992 \rightarrow \$63.99$

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Example Question #26 : How To Find The Sale Price

Julie only has $\$49.99$ to spend on a prom dress on tax free weekend. She has narrowed her search down to her four favorites: a red dress costing $\$59.99$ but marked down $15\%$ a blue dress costing $\$55.99$ marked down $10\%$ , a yellow dress costing $\$65.99$ marked down $25\%$ , and a purple dress costing $\$75.99$ marked down $30\%$ . Which dress can Julie buy?

Possible Answers:

She cannot afford any of the dresses.

blue dress

purple dress

yellow dress

red dress

Correct answer:

yellow dress

Explanation:

This is a percentages problem. To find the price of an item on sale by a certain percentage, you subtract that percentage decimal from 1.0, and multiply that number by the cost of the dress. Then, you compare that number to the amount she has to see if she can afford it.

Red dress price= $\$59.99*(1-0.15)=\$59.99 * 0.85 = \$50.99 >\; \$49.99.$

Blue dress price= $\$55.99*(1-0.0.10)=\$55.99 * 0.90 = \$50.39 >\; \$49.99.$

Yellow dress price= $\$65.99*(1-0.25)=\$65.99 * 0.75 = \$49.49 <\; \$49.99.$

Purple dress price= $\$75.99*(1-0.30)=\$75.99 * 0.70 = \$53.19 >\; \$49.99.$

Since the yellow dress is the only dress under her total amount of money, that is the only dress she can afford.

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Example Question #27 : How To Find The Sale Price

To find the sale price for a single item or group of like items, one can use the equation P_d = P_o(1-S) , where P_d is the discounted price, P_o is the original price, and is the percent to be discounted in decimal form.

A pair of headphones normally sells for $\$ 70$ . If the headphones are on a $20 \%$ -off discount, how expensive are they?

Possible Answers:

$\$22$

$\$56$

$\$50$

$\$48$

$\$14$

Correct answer:

$\$56$

Explanation:

To find the new sale price, apply the discount to the original price in decimal form.

P_d = P_o(1-S) ---> $P_d = \$70(1-.2) = \$70(.8) = \$56$

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Example Question #21 : How To Find The Sale Price

A car ordinarily sells for $\$ 21500$ , but a savvy consumer walks out having paid only $70 \%$ of that price. How much did the customer pay?

Possible Answers:

$\$ 13030$

$\$ 15050$

$\$ 16300$

$\$ 17500$

$\$6450$

Correct answer:

$\$ 15050$

Explanation:

Applying our equation from above:

P_d = P_o(1-S) ---> $P_d = \$ 21500 (.7) = \$15050$

So, the customer paid $\$ 15050$ , or $70 \%$ of the original price.

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Example Question #29 : How To Find The Sale Price

Some clothes are on sale at $40 \%$ off retail. If a customer buys three pairs of jeans for a total of $\$ 99$ , what was the original price of one pair of jeans?

Possible Answers:

$\$ 55$

$\$ 70$

$\$ 49$

$\$ 33$

$\$ 69$

Correct answer:

$\$ 55$

Explanation:

We can apply our formula, but first we should divide the total price by , then fill in what we know:

P_d = P_o(1-S) ---> $\$ 33 = P_o(1-.4)$

$P_o = \frac{\$ 33}{.6} = \$ 55$

So, one pair of jeans without discount costs $\$ 55$ .

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Example Question #30 : How To Find The Sale Price

A pack of batteries is on sale for $85 \%$ of the normal price. If ten packs cost $\$ 33.50$ , what is the non-discounted price of one pack of batteries?

Round to the nearest $\$ 0.01$ .

Possible Answers:

$\$ 3.54$

$\$ 3.94$

$\$ 3.14$

$\$ 3.34$

$\$ 3.74$

Correct answer:

$\$ 3.94$

Explanation:

We can apply our formula, if we remember to first divide by :

$\frac{P_d}{10} = P_o(1-S)$ ---> $\frac{\$ 33.50}{10} = P_o(1-.15)$

$\frac{\$ 3.35}{.85} = P_o = 3.9411 \approx \$ 3.94$

Thus, our rounded answer is $\$ 3.94$ .

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ACT Math : How to find the sale price

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #21 : How To Find The Sale Price

Example Question #22 : How To Find The Sale Price

Example Question #23 : How To Find The Sale Price

Example Question #21 : How To Find The Sale Price

Example Question #25 : How To Find The Sale Price

Example Question #26 : How To Find The Sale Price

Example Question #27 : How To Find The Sale Price

Example Question #21 : How To Find The Sale Price

Example Question #29 : How To Find The Sale Price

Example Question #30 : How To Find The Sale Price

All ACT Math Resources

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