Working with money
Wages and salaries
Wages and salaries are different ways of paying workers.
In general, wages refer to hourly pay and salaries refer to annual pay.
Wages are paid weekly based on the number of hours worked. To calculate wages, the hourly rate of pay for that job is multiplied by the number of hours worked that week. Workers are not usually paid for lunch or other breaks.
Salaries are based on an annual amount and are paid every month. The annual salary is divided by 12 to calculate monthly earnings.
Example
Aidan has a part-time job at a garden centre and earns 拢8.50 per hour. He works two days a week from 9 am to 5.30 pm with 1 hour 30 mins off for lunch and breaks.
What is Aidan鈥檚 wage for that week?
Solution
Each day, Aidan works from 9 to 5.30 which is 8.5 hours. We need to subtract the 1.5 hours for lunch and breaks.
8.5-1.5 = 7
Aidan gets paid for 7 hours work.
7 x 拢8.50 = 拢59.50
He works 2 days per week.
Total wage = 拢59.50 x 2 = 拢119
Answer
Aiden earned 拢119 that week
Example
Laura works as an electronic engineer and her salary is 拢45000. How much does she get paid per month?
Solution
拢45000 is for 12 months
拢45000 梅12 = 拢3750
Answer
Laura gets paid 拢3750 per month.
Example
Rory works in a coffee shop every Friday and Saturday. He is paid 拢9.80 per hour and time and a half at weekends. One week he worked 5 hours on Friday and 6 hours on Saturday. How much did he earn that week?
Solution
On Friday, Rory earns 拢9.80 x 5 = 拢49
On Saturday, for every hour he works, he gets paid 拢9.80 + 陆 of 拢9.80.
拢9.80 + 陆 of 拢9.80 = 拢14.70
拢14.70 x 6 = 拢88.20
Rory earns 拢88.20 on Saturday.
Altogether Rory earns 拢49 + 拢88.20 = 拢137.20
Answer
拢137.20
Question
Connor and Catherine are comparing how much they earned the previous month.
During that month, Catherine worked 8 hours every day for 22 days. She gets paid 拢15 per hour.
Connor gets paid a yearly salary of 拢32400
Who earned more money that month? How much more?
Catherine: 15 x 8 x 22 = 拢2640
Connor: 32400 梅 12 = 拢2700
2700-2640 = 60
Answer:
Connor earned 拢60 more.
Profit and loss
When a business buys something and then sells it on, they can:
- make a profit (make more money than they spent) or
- make a loss (make less money than they spent) or
- break even (make the same amount of money as they spent)
Example
Finn makes candles to sell at the local market. To make 50 candles, he spends 拢88 on the wax, 拢15 on the wicks and 拢11 on the electricity to make them. He also spends 35p on packaging for each candle. He sells the candles for 拢4.99 each.
Calculate his profit or loss on 50 candles.
Solution
Altogether, to make 50 candles Finn spends:
拢88 + 拢15 + 拢11 = 拢114
He also spends 35p on packaging for each candle.35 x 50 = 1750 (Remember that this is 1750 pence, and the other amounts are in 拢s.)
1750p = 拢17.50
114 + 17.50 = 拢131.50
Finn spends 拢131.50 altogether.
He sells 50 candles at 拢4.99 each
50 x 拢4.99 = 拢249.50
He makes a profit because he makes more money than he spends.
拢249.50 - 拢131.50 = 拢118
Answer:
Finn makes 拢118 profit.
Question
Aoife sells tie dye tee shirts from home. She buys 60 white tee shirts online for 拢3.50 each and spends 拢45 on dye. Other expenses such as electricity and postage come to 拢28.
Aoife wants to make a profit of at least 拢100. What is the lowest price that she can charge for each tee shirt?
Solution:
Aoife spends
60 x 拢3.50 + 拢45 + 拢28 = 拢283
She wants to make 拢100 profit, so she needs to sell the tee shirts for at least 拢283 + 拢100 = 拢383.
She has 60 tee shirts to sell.383 梅 60 = 6.3833333鈥
Normally we would round down but in order to make at least 拢100 Aoife needs to round up= 拢6.39 rounded up to the nearest penny.
Answer:
Aoife needs to sell her tee shirts for at least 拢6.39 each.
Simple interest
When you a sum of money paid into a bank or building society account. money in a bank, it will pay you An amount of money a lender or bank receives for lending out money or an individual receives for saving money for allowing them to use your money.
When you borrow money from a bank, you will have to pay interest to the bank.
The amount of interest depends on the The cost of borrowing as an annual percentage of the loan. When you save it is the rate your are paid by the bank..
Interest rate is a percentage that changes depending on the economic conditions in the country at the time.
Simple interest interest that is earned or paid on the original amount of money (the principal). The amount earned or paid is the same every year.Simple interest can be calculated using the formula:
\(\color{purple} \Large {\text{simple interest}} = \frac{{P}\times{T}\times{R}}{100}\)
Where:
P = the principal (the original amount of money)
T = the time in years that the interest is to be calculated
R = the interest rate which is given as a percentage
Example
Jack borrows 拢4500 from his bank. He has arranged to pay it back over 3 years at an interest rate of 6.5%. How much interest does he have to pay on this loan?
Solution:
Use the formula:\(\color{purple} {\text{simple interest}} = \frac{{P}\times{T}\times{R}}{100}\)
- P = 拢4500
- T = 3
- R = 6.5
\(\color{purple} {\text{simple interest}} = \frac{{4500}\times{3}\times{6.5}}{100} = 拢877.50\)
Answer:
Jack pays 拢877.50 interest on the loan.
Bank accounts
Banks provide different types of accounts depending on the needs of the customer. Most people have an account where they deposit their wages or salary and then use it to pay their bills and for day-to-day expenses.
Every month, the bank sends out a statement to each customer showing how much they have deposited (credit) and how much they have spent (debit). It may also give details of what the customer has spent their money on. The statement shows the balance for the account 鈥 the total amount of money in the account at that time.
A typical bank statement
Example
Image caption, This table is part of Charlotte鈥檚 bank statement for December.
Complete each line of the table - The first line is already complete. Remember that in each row, only the debit or credit column will have a figure in it.
1 of 4
- Complete the statement for 3rd May and 10th May.
- How much is Michael charged for rent each month?
Solution
3rd May: 496.20 鈥 479.70 = 16.50
拢16.50 was debited for Michael鈥檚 internet
10th May: 479.70 + 75 = 拢554.70
Michael鈥檚 balance was 拢544.70 on 10th May拢554.70 - 拢314.70 = 拢240
Answer:
Michael paid 拢240 for his rent.
Test yourself
More on M1: Number
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