Percentage change in context (VAT, discounts, profit)

VAT is charged at 20%. Work out the price including VAT of

1. a bicycle that costs £240 before VAT
2. a printer that costs £85 before VAT

In a sale, all prices are reduced. Work out the sale price of

1. a jacket with an original price of £65, reduced by 30%
2. trainers with an original price of £80, reduced by 15%

Kane buys a bike for £250.

A year later he sells the bike for £210.

Work out his percentage loss.

A coat costs £132 including VAT at 20%.

Work out the price of the coat before VAT.

In a sale a pair of boots is reduced by 30%. The sale price is £42.

Work out the original price of the boots.

A trader buys a table for £68.

She sells the table for £85.

Work out her percentage profit.

Samira bought a house for £240 000. She spent £20 000 on improvements. She then sold the house for £312 000.

Work out her percentage profit on the total amount she spent.

Dev buys 40 phones at £90 each. He sells 25 of them at £140 each and the other 15 at £110 each.

Work out his percentage profit. Give your answer correct to 1 decimal place.

In 2019 Femi bought a flat for £180 000.

In 2026 he sold the flat for £207 000.

Work out his percentage profit.

A supermarket sells two special offer boxes of cereal.

Box A: 500 g for £3.20, with 25% extra free

Box B: 750 g for £3.60, with 10% off the price

Decide which box is the better value for money. You must show your working.

A farm shop buys 200 kg of potatoes at 45p per kg. The potatoes are packed into 5 kg bags. Four of the bags are damaged and cannot be sold.

The shop wants to make a profit of 30% on what it paid for the potatoes. Work out the lowest price, per bag, at which it must sell the rest of the bags.

A sofa has a price of £540 including VAT at 20%. In a sale, the price is reduced by 10%.

Work out the sale price before VAT is added.

A shop buys phone cases for £3.20 each.

The shop sells each phone case for £4.40.

Show that the shop's percentage profit on each phone case is 37.5%.

Gina buys 40 plants for £1.80 each.

She sells 32 of the plants for £3 each.

She sells the rest of the plants for £1.50 each.

Work out Gina's percentage profit.

Layla needs 18 identical notebooks for a club.

Shop A sells the notebooks at £1.20 each, with an offer of buy 2 get 1 free.

Shop B sells the notebooks at £1.05 each, with 10% off the total cost when you buy 15 or more.

Work out which shop is cheaper for 18 notebooks, and by how much.

A grocer buys a 25 kg sack of potatoes for £15.

He puts all the potatoes into 2.5 kg bags.

He sells each bag for £2.10.

He sells all the bags.

Work out his percentage profit.

Kirsty buys a sofa costing £840

She pays a deposit of 35% of the cost.

She pays the rest of the cost in 12 equal monthly payments.

Work out the amount of each monthly payment.

A florist buys 60 roses for a total of £45.

She sells all 60 roses at the same price each.

She wants to make a profit of at least 40%.

Work out the least possible price for each rose.

Rob and Sita buy a boat for £6400.

They pay for the boat in the ratio 5 : 3.

Later they sell the boat for £8800.

They share the money from the sale in the ratio 7 : 4, with Rob taking the larger share.

Work out Rob's percentage profit on the money he paid.

The price of a sofa is £480 plus VAT at 20%.

Zara pays for the sofa with a deposit followed by 8 equal monthly payments.

The ratio of the deposit to the total of the 8 monthly payments is 2 : 7.

Work out the amount of each monthly payment.

The same jacket is sold in two shops.

Shop A: normal price £80, with 15 off.

Shop B: normal price £84, with 25% off.

In which shop is the jacket cheaper, and by how much? You must show your working.