5.05 Percent increase and decrease
Consider increasing 1300 by 40\%.
Find 40\% of 1300 and add your answer to the original amount of 1300.
Calculate 140\% of 1300.
Are your answers to (a) and (b) the same? Explain why this is.
What percentage should a quantity be multiplied by in order to increase the quantity by:
Increase 700 by 10\%.
A bag of potatoes weighs 110\text{ lb}. When more potatoes are added, the weight of the bag increases by 35\% find the new weight of the bag of potatoes.
The price of a phone was increased by 40\% and then again by 40\%.
What was the overall percentage increase?
The overall percentage increase when the price is increased by 40\% twice is equal to 2 \times 40\%. True or false?
The Run4Fun charity race is increasing in popularity. A year ago 60\,000 people registered to run, and this number is expected to increase by 6\% this year and then by another 8\% next year. How many people are expected to run next year?
Consider decreasing 1500 by 15\%.
Find 15\% of 1500 and subtract your answer from the original amount of 1500.
Calculate 85\% of 1500.
Are your answers to (a) and (b) the same? Explain why this is.
A bag of rice weighs 220\text{ lb}. When some rice is poured out, the weight of the bag decreases by 40\%. Find the new weight of the bag of rice.
The price of a dress was reduced by 30\% and then again by 30\%.
What was the overall percentage decrease?
The overall percentage decrease when the price is reduced by 30\% twice is equal to 2 \times 30\%. True or false?
The price of a phone was reduced by 25\% and then again by 25\%. Find the overall percentage decrease.
For each of the following, determine the overall percentage increase:
The price of a shirt was increased by 97\% and then again by 97\%.
The price of a dress was increased by 19\% and then reduced by 14\%.
The price of a dress was reduced by 20\% and then increased by 44\%.
Bob has invested heavily in a certain company. One day it was reported that the company's factory was damaged by a fire and its share price fell by 40\%. However, when it was revealed the next day that the company had insurance and wouldn't be too badly affected, the shares recovered by 40\%.
Express the share price after the original announcement as a percentage of the previous day's price.
Express the share price after the insurance announcement as a percentage of the price after the original fire announcement.
Calculate the final share price as a percentage of the price before either announcement.
Now, evaluate the percentage change over the two days.
Is this change an overall increase or decrease?
Calculate the sale price of an item if:
The cost price was \$333 and the profit made was \$269.
The cost price was \$8822 and the loss on the sale was \$3221.
The cost price was \$210 and the profit made was \$293.
The cost price was \$7557 and the loss on the sale was \$1922.
The cost price was \$636.97 and the loss on the sale was \$478.92.
Calculate the profit (or loss) when:
The selling price is \$344 and the cost price is \$288.
The selling price is \$154 and the cost price is \$363.
The money received is \$5526 and expenses are \$2396.
The money received is \$3836 and expenses are \$5640.
The selling price is \$343 and the cost price is \$134.
The selling price is \$1697 and the cost price is \$2853.
The money received is \$470.78 and expenses are \$333.27.
The money received is \$4451.88 and expenses are \$4520.75.
Calculate the cost price when:
The selling price is \$357 and the profit is \$199.
The selling price is \$2983 and the loss is \$2386.
The selling price is \$258 and the profit is \$139.
The selling price is \$549.62 and the profit is \$525.67.
The selling price is \$2050 and the loss is \$1427.
Calculate the expenses when:
The money received is \$388 and the profit is \$192.
The money received is \$8567 and the loss is \$1798.
The money received is \$3915 and the loss is \$1848.
The money received is \$883.21 and the loss is \$410.79.
Calculate the total revenue if:
The expenses are \$322 and the profit is \$437.
The expenses are \$241 and the profit is \$228.
The expenses are \$586.88 and the profit is \$635.01.
The expenses are \$3842 and the loss is \$3082.
In its opening month, the local pizza store sold 161 large pizzas at \$15 each and 152 small pizzas at \$5 each. The store's expenses included electricity costs of \$29, water costs of \$20, rent of \$284, wages of \$1164 and ingredient costs of \$253. Calculate:
The total revenue.
The total expenses.
The profit (or loss) for the month.
Every item in store is sold at 8\% more than its cost. If a product was bought from the manufacturer for \$360, calculate:
The sale price.
The profit.
Every item in store is sold at 9\% more than its cost. If a product is sold for \$110, calculate:
The cost price.
The profit.
A manufacturer is selling its old factory machinery for \$34\,320, which represents a loss of 12\%. At what price did the manufacturer purchase the machinery?
Maria bought a car for \$5400 and sold it two years later, making a loss of 15\%. How much did she sell it for?
Amelia bought a truck for \$17\,300 and sold it four years later, making a loss of 25\%. How much did she sell it for?
James bought 2 pens for \$9.20 each. He then sold one of the pens for \$10.71 and the other for \$5.92.
What was the total cost of the two pens?
How much did he receive for the two pens?
Now, find James's profit (or loss).
Buzz bought a cellphone for \$170 and sold it 7 months later, making a loss of 30\% on the purchase price. Find the selling price.
A retailer purchased a refrigerator for \$270 and sold it for \$310. Calculate the profit as a percentage of the cost price, expressing your answer as a percentage correct to two decimal places.
James bought a chest of drawers for \$230 and sold it 2 years later for \$179. Calculate his loss as a percentage of the original price correct to two decimal places.
Calculate the percentage profit if an item is sold for:
3.5 times its cost price
1.5 times its cost price