For Problems 1 and 2, calculate the missing values.
| Table | Percents | Decimals | Fractions (or mixed numbers) in lowest terms |
|---|---|---|---|
| a. | 80% | ? | ? |
| b. | ? | 0.25 | ? |
| c. | ? | ? | [latex] \displaystyle{1\frac{1}{2}} [/latex] |
| d. | [latex] \displaystyle{6\frac{1}{3}\%} [/latex] | ? | ? |
| e. | ? | 0.048 | ? |
| f. | ? | ? | [latex] \displaystyle{\frac{2}{25}} [/latex] |
| Table | Percents | Decimals | Fractions (or mixed numbers) in lowest terms |
|---|---|---|---|
| a. | 2% | ? | ? |
| b. | ? | 0.245 | ? |
| c. | ? | ? | [latex] \displaystyle{\frac{5}{12}} [/latex] |
| d. | [latex] \displaystyle{12\frac{2}{5}\%} [/latex] | ? | ? |
| e. | ? | 1.075 | ? |
| f. | ? | ? | [latex] \displaystyle{\frac{3}{80}} [/latex] |
For the following problems, express the answers rounded to two decimal places, wherever applicable.
For Problems 3 and 4, calculate the value.
a. 125% of what number is 45?
b. What percent of $180 is $36?
c. How much is [latex] \displaystyle{\frac{3}{8}\%} [/latex] of $60?
a. 225% of what number is 180?
b. What percent of $750 is $300?
c. How much is [latex] \displaystyle{\frac{2}{5}\%} [/latex] of $30?
Paul sold a property for $575,000, which was 125% of the purchase price. Calculate the purchase price.
Peter sold his shares for $14,437.50. Calculate the amount he paid for the shares if his selling price was 275% of the amount he paid for the shares.
Lian scored 45 out of 60 on a math test. What was his percent grade on the test?
There were 48 questions in a test. Ann answered 40 questions correctly. What percent of the questions did she answer correctly?
The total expenditure for the construction of a highway was $1,280,000. If this is 111% of the budgeted amount, calculate the amount budgeted to build the highway.
If Henry's business expenditures were $14,480 in March and $14,806.50 in April, which were 112% and 122% of his budgeted expenditure for March and April respectively, calculate his total budgeted expenditure for the two months.
Assume that out of the 350,000 people who immigrated to Canada in 2016, 12.25% were from China, 9.75% were from the Philippines, and the rest were from other countries.
Calculate the number of people who immigrated to Canada from China.
If the combined number of immigrants from China and the Philippines constituted 0.2% of the population of Canada, calculate the population of Canada in 2016. (Round the answer up to the next whole number.)
A dinner at a restaurant cost you $27.80 and you tipped the waiter 15% of the cost.
What was the value of the tip?
If the tip that you gave the waiter was 2% of all the money he made from tips that night, calculate the amount that the waiter earned from tips that night.
a. What is 180 increased by 70%?
b. $90 decreased by 90% is how much?
c. How much is $4,500 increased by 150%?
d. What amount increased by 25.75% is 855.10 kg?
a. What is 2,680 increased by 85%?
b. $880.45 decreased by 85% is how much?
c. How much is $1,850.50 increased by 300%?
d. What amount increased by [latex] \displaystyle{90\frac{1}{2}\%} [/latex] is 110.49 kg?
a. What amount decreased by 10% is $477?
b. What amount increased by 180% is $20.65?
c. $1,200 decreased by what percent is $300?
d. 750 kg is what percent less than 1,000 kg?
a. What amount increased by 28% is $231.75?
b. What amount increased by 600% is $24.92?
c. $800 increased by what percent is $1,800?
d. 102 km is what percent more than 85 km?
The sales tax of 13% increased the cost of a dinner at a restaurant to $55.37. What was the cost of dinner before taxes?
After paying income taxes of 32%, Sally's annual pay was $35,600. Calculate Sally's income before deducting income taxes.
If toner cartridges that sell in stores for $45 each are being offered online for $36 each, calculate the percent discount offered online.
A college tuition fee of $4,500 increases to $4,900. Calculate the percent increase of the fee.
The average summer temperature in Toronto increased by 3.5 °C this year. If the average daytime temperature last year was 28 °C, calculate the percent change in the average summer temperature this year.
The average winter snowfall in Montreal increased by 2.5 cm this year. If the average winter snowfall last year was 50 cm, calculate the percent change in average winter snowfall this year.
The selling price of an apartment was $335,000. This is 34% more than the purchase price. Calculate the original purchase price.
The selling price of a home was $663,000. This is 23.5% more than the purchase price. Calculate the original purchase price.
A car dealer reduced the price of a car by 8.75%. The current price of the car is $38,000. What was the price of the car before the reduction in price?
A property developer reduced the price of a house by 6.25%. The current price of the house is $703,125. What was the price of the house before the reduction?
A marketing department's expenses rose by 30% from last year. If this year's expenses are $234,260, calculate last year's expenses.
Following a discount, a manufacturing company paid $56,400 for a heavy-duty packing machine from Japan. If they received a 21% discount, calculate the original price of the machine.
On a math quiz, Chelsea scored 15% more than Zane. By what percent is Zane's score less than Chelsea's?
If Sabrina's annual salary is 10% more than Christina's, by what percent is Christina's annual earnings less than Sabrina's?
Holistic Energy Ltd. spends $1,200, $1,400, $800, and $1,700 on average on replacing printer cartridges for their black and white inkjet printers, colour inkjet printers, black and white laser printers, and colour laser printers, respectively, every month.
What percent of the total expenditures on printer cartridges do they spend on colour laser printers every month?
If they decide to reduce the expenses on both colour inkjet printers and colour laser printers by 50%, what percent of the total expenditures would they spend on black and white laser printers?
A manufacturing company has 280 production people, 21 quality inspectors, 15 sales people, 6 marketing people, and 15 people in other departments such as HR, Finance, etc.
What percent of the total employees is quality inspectors?
If 15% of the production people quit their jobs, what percent of the total remaining employees is quality inspectors?
Katelyn's financial manager invested her savings in a portfolio of shares that comprised of investments of $2,000, $1,800, and $3,100 in the infrastructure, hitech, and garment industries, respectively. Towards the end of 2017, if the value of her shares in the infrastructure industry rose by 20% while the rest remained the same, calculate the percent change in the value of her total investments.
Preston's website company invests their annual savings in different mutual funds. In 2016, they invested $12,500 in high-growth funds, $5,000 in mediumgrowth funds, and $2,000 in low-growth funds. If the value of their low-growth funds dropped by 10% this year while the rest stayed the same, by what percent did the total value of their investments change?
Calculate the amount of interest earned from an eight-month investment of $7,500 at 4.5% p.a.
Steve borrowed $4,250 for 15 months at 3.2% p.a. How much interest would he have to pay on the loan?
What amount must be invested now to earn $375 in interest in three years at 4% p.a.?
An investment at 3% p.a. earned interest of $225 over a period of two years. Calculate the amount invested.
At what annual interest rate will an investment of $2,400 earn interest of $660 in five years?
The interest on a loan of $3,600 for three years is $486. Calculate the annual interest rate charged on the loan.
Ram's bi-weekly pay is $1,750. Calculate his annual salary and the equivalent monthly pay.
Sam's monthly pay is $4,680. Calculate his annual salary and the equivalent bi-weekly pay.
Rodney's weekly pay is $787.50 and his workweek is 35 hours. If his overtime factor is 2, calculate his hourly rate of pay and the overtime rate of pay.
John's bi-weekly pay is $1,820 and his regular workweek is 40 hours. If his overtime factor is 1.5, calculate his hourly rate of pay and the overtime rate of pay.
A secretary is paid $14.50 per hour and her workweek is 37.5 hours. Calculate her annual salary and her semi-monthly pay.
A bank teller is paid $17.25 per hour and her workweek is 35 hours. Calculate her annual salary and her semi-monthly pay.
Chris receives a semi-monthly pay of $2,246.40. Calculate his annual salary and the equivalent biweekly pay.
Lisa receives a bi-weekly pay of $2,121.60. Calculate her annual salary and the equivalent semi-monthly pay.
Amy receives a commission rate of 6% on all sales in a month. Last month she earned $2,160. Calculate her sales during last month.
Roger, a real estate agent, receives a 2% commission on the sales of houses. He earned a commission of $8,500 from the sale of a house. Calculate the selling price of the house.