Base-100 Conversions
Mental Math & Tips
The Retail Trap (Stacked Discounts)
Sales Tax & Rounding
Percent of Change & Inflation
100

Express the decimal 0.07 as both a percentage and a fraction in simplest form.

What are 7% and 7/100?

100

According to the "10% Mental Rule," you move the decimal point this many places to the left to find 10% of any bill.

What is one place?

100

True or False: Taking 20% off an item and then taking another 20% off at checkout means the item is 40% off.

What is False?

100

Converted into a working decimal, Utah's state base sales tax rate of 4.85% looks like this.

What is 0.0485?

100

A bag of chips increases in price from $2.00 to $2.50. This is the dollar amount of the change.

What is $0.50?

200

If a shoe store advertises a discount of 1/5 off all inventory, this is the equivalent percentage discount.

What is 20% off?

200

Without using a calculator, this 10% of a $45.00 restaurant tab.

What is $4.50?

200

A pair of shoes costs $50.00. After taking a 10% discount, this is the new sale price.

What is $45.00?

200

If an item costs$10.00 and sales tax 7%, this is the tax amount in cents.

What is 70 cents (or $0.70)?

200

This is the base formula used to calculate percent of change.

((New Price - Original Price)/Original Price)) x 100

300

This savings option gives you a larger discount on a $100 jacket: 0.25 off or 20% off.

What is 0.25 off?

300

Using you 10% benchmark, this is a 20% tip on a $58.00 haircut

What is $11.60?

300

A jacket originally priced at $100 is marked 20% off, and you have a coupon for an extra 10% off the sale price. This is the final amount you pay at checkout.

What is $72?

300

If you perform a tax calculation and your calculator shows $3.4281, this is the correct amount to charge the customer after rounding.

What is $3.43?

300

In the percent of change formula, you must always divide the amount of change by this specific value, never the new value.

What is the Original Price?

400

If an item is on sale for 25% off, this is the fraction of the original price you actually pay at the register.

What is 3/4 (or 75%)?

400

If your dinner bill comes to $30.00 and you leave a $6.00 tip, this is the exact percentage tip you gave your server.

What is 20%?
400

On a $200 television, Option A offers 50% off. Option B offers $30% off plus an extra 20% stacked coupon. This option saves you more money. Must show work to earn points.

What is Option A?

Option A: 200 x 50% = 100      200-100=100

Option B: 200 x 30%= 60  200-60= 140 

140x 20% = 28, 140 - 28 = 112

Option A saves $12

400

This is the single multiplier you can use to calculate a $100 item subtotal plus 6.5% sales tax in just one step.

What is 1.065 (or $100 x 1.065 = $106.50)?

400

A movie ticket cost $5.00 in 2000 and costs $10.00 today. This is the historical percent increase in price.

What is 100% increase?

500

Multiplying a subtotal by 0.08 gives an 8% tax, while multiplying by 0.8 calculates this percentage of the total.

What is 80%?

500

You have $50 cash. A jacket is marked $60 with a 20% discount. This is the dollar amount you pay before tax, and whether you have enough cash.

What is $48.00? and Yes, you have enough

500

Store A sells a $80 skateboard at 25% off with an extra 10% coupon. Store B sells it at a flat 30% off. This store has the lower price. Must show work to get the points.

What is Store A? 

Store A: (80 x 75%)= 60 - (60 x 10%) = 54


Store B: 80 - (80 x 30%)= 56

500

A $150.00 coat is purchased in Salt Lake City with a 7.75% tax rate. This is the final total price after rounding tax to the nearest cent.

What is $161.63? (11.625 ------> 11.63)

500

A price dropping from $50 to $40 is a 20% decrease. Going back up from $40 to $50 is a 25% increase. This explains why the percentages are different.

What is the starting base (denominator) change from $50 to $40?