9. Charlie is an apprentice electrician. He earns €10⋅25 per hour and works 30 hours per week. He pays tax at a rate of 21% on his gross weekly salary and has a tax credit of €37⋅50 per week.


(i) What is Charlie’s gross pay per week? (ii) Calculate his gross tax per week.


(iii) How much net tax per week does he have to pay?


(iv) Charlie gets a tax-free sum of €27⋅50 per week towards the cost of his tools. Using all of the above information, calculate his net wages for one week.


10. Holly earns €32 500 per year. Last year, she was billed for gross tax amounting to €6 825, before tax credits were taken into account.


(i) At what percentage rate does Holly have to pay tax?


(ii) After her tax credit was taken into account, Holly paid €5 125 in income tax. How much is Holly’s tax credit worth?


11. Marie earns €28 000 per year. She pays tax at 19% and has a tax credit of €1 700 per annum.


(i) What is Marie’s gross tax? (ii) What is her net tax? (iii) How much is her net pay? (iv) Marie gets an increase in her gross wages of 5%. What is her new gross wage? (v)


If her tax rate and tax credits stay the same, has Marie’s net wage also increased by 5%? Justify your answer.


Revision questions


28A Core skills 1. Find the resulting new increased or decreased quantities below. Give your answers to two decimal places, where appropriate.


(i) 9% decrease in €450 (ii) 5% increase in 25 km (iii) 12·5% increase in a speed of 600 km/h (iv) 20% decrease in a temperature of 30°C (v) 2·5% increase in a salary of €1 250


2. A German shepherd dog weighs 48 kg. After a diet and exercise program, he now weighs 41 kg. What is the percentage loss in weight? Give your answer to the nearest whole number.


3. Stephen is in a cycle race. For the fi rst 21 km his average speed is 20 km/h. The second part of the race is uphill and he only manages to cycle an average speed of 13 km/h. Find his percentage decrease in average speed.


4. The population of a town was 25 000 in the 2015 census. In the 2020 census, it was 30 000. By what percentage did the population increase?


5. A house was purchased in 2007 for €650 000. It is now valued at €552 000. By what percentage has the value of the house depreciated? Give your answer to the nearest whole number.


6. The length of a piece of copper wire is 7 cm. When heated, the length increases by 11%. Find the new length of the wire after it has been heated. Give your answer to one decimal place.


454 Linking Thinking 1


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