Word Problems on Percentages and Ratios

Mr. Richards reviews grade 7 math problems focusing on percentages. He explains how to calculate percentage markups and discounts using examples like a guitar, trumpet, and clarinet. The video also covers calculating tips at a restaurant, the percentage increase in gold prices, and analyzing proportional relationships in data. Finally, it includes a problem on calculating total cherries picked by two individuals.

If a store buys a guitar for $45 and marks it up by 30%, what is the final selling price?

• $60.00

• $59.00

• $45.00

• $58.50

A trumpet is sold for $104 after a markup. If the markup rate is 30%, what was the original price?

• $70

• $80

• $100

• $90

A clarinet was bought for $75 and sold for $100. Was the markup exactly 30%?

• Yes, it was exactly 30%

• No, it was less than 30%

• No, it was more than 30%

• It cannot be determined

A family spends $49.77 at a restaurant, including a $42 bill. How much was the tip?

• $5.77

• $7.77

• $6.77

• $8.77

What percentage of the bill was the tip if the bill was $42 and the tip was $7.77?

• 15%

• 25%

• 18.5%

• 20%

The price of gold increased from $513 to $1060 over a decade. What was the percentage increase?

• 115%

• 100%

• 107%

• 110%

Is there a proportional relationship between steps taken and distance traveled if 950 steps cover 1 km and 2852 steps cover 3 km?

• Yes, it is proportional

• No, it is not proportional

• Cannot be determined

• It is proportional only sometimes

Noah picked 3 kg of cherries, and May picked half as many. How many kilograms did they pick together?

• 5 kg

• 4.5 kg

• 3.5 kg

• 4 kg

If 950 steps cover 1 km, how many steps would cover 2 km?

• 950 steps

• 1900 steps

• 3800 steps

• 2850 steps

If May picked half as many cherries as Noah, who picked 3 kg, how many kg did May pick?

• 1.5 kg

• 2.5 kg

• 2 kg

• 1 kg