Maths Made Easy Forums Standard Finance Earning & Managing Money Wages & Salaries

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Keymaster
Post count: 802

I’m having troubles with 11_hy_stm_13.pdf question 4,B

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Keymaster
Post count: 802
 Mary received a wage rise of 5% and now earns \$134.40 for an 8 hour day. What did Mary receive per hour before the wage increase? 100% + 5% = 105% If it has gone up by 5%, that means it is now 105% 134.40 ÷ 105% = \$128 to find the original we need to divide the new wage by 105% 128 ÷ 8 = \$16 per hour so the previous wage is \$128 for the 8 hours, divide by 8 to find the hourly rate
Keymaster
Post count: 802

John works a 40 hour week at a fixed hourly rate. He receives 4 weeks of holiday pay including a holiday loading of 17½%. If the holiday loading was \$665, what is John’s hourly rate?

let the hourly rate be x dollars
in one week = 40x
four weeks = 40x × 4 = 160x
0.175 × 160x = 665
28x = 665
x = \$23.75

Keymaster
Post count: 802

John and Will work in a warehouse and both earned \$1000 each last week. John worked 5 hours more than Will and was paid time-and-a-half for those extra hours, at the normal rate of \$20 per hour. What is Will’s hourly rate of pay?

let the number of hours John worked be x
so John worked x hours at \$20 an hour = 20x
he worked 5 hours at time and a half = 5 × 1.5 = 7.5 hours will be paid
20 × 7.5 = 150
total pay = 1000 = 20x + 150
850 = 20x
x = 42.5
so John worked 42.5 hours
if John worked 5 hours more then Will worked 42.5 – 5 = 37.5 hours
Hourly rate = 1000 ÷ 37.5
= \$26.67

Keymaster
Post count: 802

A wage sheet of a small business shows one employee’s details:
Rate per hour: \$20
Normal hours: 30
Overtime (× 2): x
Wage: \$840

If Nate worked some overtime at double time rate which is missing from the wage sheet, how many hours of overtime did he work?

30 hours at normal time = 30 × \$20 = \$600

Overtime pay =  \$840 – \$600
= \$240

Overtime rate = double time = 2 × \$20 = \$40 per hour

Hours of overtime = \$240  ÷ \$40

= 6 hours