Repeated percentage change

Maths

Growth and decay

What would the value of £300 become if it grew by 5% and then another 5%?

If an antique appreciates by 6% per year for 11 years, the decimal multiplier would be 1.06^11.

If I want to find the 'original' price of something that is currently in a sale and has 40%, I always need to find 100% of the amount to work out the original price.

If I start with a number, increase it by 30% and then decrease it by 30%, I get back to the original number.

The decimal multiplier to increase an amount by 6% for 5 years would be...

If 75% of my number is 150, what is my number?

If I buy a car in a 20% off sale and it costs £30,000, how much did the car originally cost?

If I decreased the amount I paid for my car insurance by 90% to £36.50 per year, how much did I pay previously for my car insurance?

If a jumper was marked as 56% off and costs £50 now, then 44% of the original cost of the jumper is equal to £50

If I know something costs £2.10 in a 30% off sale, then i would do £2.10 = 70% and scale accordingly to get that 100% = £3 to find the original amount.

This lesson will be removed by end of Summer Term 2025.

Repeated percentage change

Lesson outcome

This lesson will be removed by end of Summer Term 2025.