For each of the following:
Find 1\% of the quantity.
Find the total quantity.
Find the original number if:
If 36\% of a quantity is equal to 2412:
Find 1\% of the quantity.
Find 83\% of the quantity.
7\% of a price is \$49.
Find 1\% of the price.
Hence, find 30\% of the price.
If 21\% of a quantity is equal to 378\text{ mL}:
Find 1\% of the quantity.
Find 71\% of the quantity.
Find the original number (to the nearest whole number) if:
The 64 girls at Victoria's party represent 80\% of all the guests. Find the total number of guests at the party.
A city has a yearly water supply of 27\,000\,000 megalitres. It gets 14\% of this water supply from melted snow. Find the amount of water that comes from melted snow each year.
A total of 36\,000 engineers were hired last year. This represents 9\% of the total number of engineers employed in the country. How many engineers are employed in the country altogether?
Every item in a store is sold at 10\% more than its cost. If a product is sold for \$220, find:
The cost price.
A woman is paid 9\% commission on her weekly sales. If her total commission for the week was \$541, find:
The value of 1\% of her weekly sales.
The total value of her weekly sales.
An investor sold his portfolio at 8\% profit for a price of \$2000. Calculate the original value of his portfolio.
In a fire sale, a store sold goods at 41\% below cost price. If \$13\,900 was earned from the sale, calculate:
The original cost of goods sold.
The loss on the sale.
When a rock sample was examined, it was found that 4.1 kilograms of it was copper. If this sample represents 10\% of the total copper in the rock bed, how many kilograms of copper were there in the rock bed?
33\dfrac{1}{3}\% of a quantity is 448 grams. Find 66\dfrac{2}{3}\% of the same quantity.
Beth spends 90\% of her weekly income on rent. If her rent is \$720 each week, find her weekly income.
462 students represent 30\% of the school population. Find the number of students that make up 60\% of the school population.
A store is having a 15\% off sale. Calculate the original price of a discounted item that is on sale for \$3723.75.
Iain spent some time volunteering in a community. He spent 10\% of his time volunteering at schools and 2\% of his time volunteering at the local hospital. The remaining 132 days he spent volunteering at animal shelters.
How many days did Iain volunteer at the local hospital?
Gwen has \$200 to spend on a new laptop. The sale price of the laptop includes the original price plus a sales tax of 9\%. Find the greatest original price of the laptop that Gwen can afford. Round your answer to the nearest dollar.
Fred’s new cable television bill is \$98 per month. This is 140\% of his monthly bill from last year, when he had the basic cable package. What was his monthly cable television bill last year?
A manufacturer is selling its old machinery for \$34\,320, which represents a loss of 12\%. At what price did the manufacturer originally purchase the machinery?
James bought a unique number plate and sold it to a car owner at 17\% profit, who then sold it to an interstate buyer at 2\% profit. If the interstate buyer bought it for \$6500, what did James originally pay for the number plate?
After a 5\% sales tax is added, the price of a trampoline is \$367.50. Let p represent the original price of the trampoline, before tax is added.
By first converting the taxation rate to a decimal, write an algebraic expression in terms of p for the amount of tax added.
Write and solve an equation to find the value of p.
Hence, state the price of the trampoline before tax.
Peter and Luigi are building a new supercomputer that will cost them \$195\,300. This price is 2\% higher than the price they originally budgeted for. Let b represent the original price that they budgeted for.
By first converting the percentage to a decimal, write an algebraic expression in terms of b for the increase in cost.
Write and solve an equation to find b, correct to the nearest whole number.
Hence, state the price of the supercomputer that Peter and Luigi originally budgeted for.
After a 40\% reduction, the price of a motor scooter is \$240. Let p represent the original price of the motor scooter.
By first converting the percentage to a decimal, write an algebraic expression in terms of p for the amount that the price was reduced by.
Write and solve an equation to find p.
Hence, state the original price of the motor scooter.