Exercises: Bills, Tax, Currency and Speed

An electricity bill in Athlone shows 350 units used at €0.32 per unit, plus a standing charge of €25.

1. a) Find the cost of the units.
2. b) Find the total bill before VAT.

Aoife is going to the UK and exchanges €400 at a rate of €1 = £0.85.

1. a) How many pounds does she receive?
2. b) She returns with £34 and changes it back at the same rate. How many euro does she receive?

A cyclist travels 45 km in 1 hour 30 minutes.

1. a) Write 1 hour 30 minutes in hours as a decimal.
2. b) Find her average speed in km/h.

A 500 g box of tea costs €3.60 and a 750 g box of the same tea costs €5.10.

1. a) Find the cost per 100 g of each box.
2. b) Which box is better value for money?
3. c) How much would be saved by buying 1,500 g using only the better value boxes instead of three 500 g boxes?

Seán earns €18.50 per hour for a 38-hour week. Overtime is paid at time and a half. Last week he worked 44 hours.

1. a) Find his gross pay for last week.
2. b) Income tax is 20% on the first €900 and 40% on the remainder. Tax credits for the week are €70. Find his income tax payable.
3. c) Find his net pay.

A train leaves Dublin Heuston at 08:45 and arrives in Cork at 11:15. The distance is 266 km.

1. a) Find the journey time in hours.
2. b) Find the average speed, correct to one decimal place.
3. c) At this speed, how long, to the nearest minute, would a 100 km journey take?

A mobile phone bill has a monthly charge of €22 (VAT included) plus extra data at €0.015 per MB. Niamh's bill for one month was €31.75 including 23% VAT on the extra data charge only.

1. a) Find the amount charged for extra data, including VAT.
2. b) Find the amount before VAT.
3. c) Find the number of MB of extra data used.

Conor travels from Dublin to Belfast, 167 km, by car. He drives the first 100 km at an average speed of 80 km/h and the rest at 50 km/h.

1. a) Find the total time, in hours and minutes.
2. b) Find his average speed for the whole journey, correct to one decimal place.
3. c) Explain why the average speed is not $\frac{80 + 50}{2}$.

A shop in Dundalk buys a jacket for €60 and marks it up by 70%. In a sale it is reduced by 25%. A customer from Northern Ireland pays in sterling at a rate of €1 = £0.86.

1. a) Find the original selling price and the sale price in euro.
2. b) Find the profit as a percentage of cost price at the sale price.
3. c) Find the price the customer pays in sterling.
4. d) At what percentage reduction on the original selling price would the shop make no profit? Give your answer to one decimal place.