Skip to main content

About this free course

Download this course

Share this free course

Ratio, proportion and percentages
Ratio, proportion and percentages

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

3.5.1 Try some yourself

Activity 26

Answer the following questions

  • (a) What is 40% as a fraction?

  • (b) What is    as a percentage?

  • (c) What is 1.26 as a percentage?

Answer

  • (a)  40% =    =  Text.

  • (b)    =   × 100% = 3 × 25% = 75%.

  • (c) 1.26 = 1.26 × 100% = 126%.

Activity 27

In an election 1248 votes out of 3000 are cast for the Gold party. What is this as a percentage? If in the previous election 35.1% voted Gold, what is the swing to Gold in percentage points?

Answer

× 100% = 41.6%.

The swing is 41.6 − 35.1 = 6.5 percentage points.

Activity 28

A quote from a builder for some home improvements is £2200 plus VAT.

  • (a) If VAT is %, what is the amount including VAT?

  • (b) If the builder gives 10% reductions for prompt payment, what would the amount be then (including VAT)?

Answer

  • (a) £2200 × = £2585.

  • (b) £2585 × = £2326.50.

Activity 29

An airline decides to increase its fares from London to Europe by 17% and its fares to North America by 15%. Before the increase a special offer European fare from London to Geneva was £165 and the North American fare from London to New York was £376. What would the new fares be for these trips after the increases?

Answer

The London to Geneva fare is increased by 17%. So it will now cost 117% of £165, i.e. 1.17 × £165 = £193.05.

The London to New York fare is increased by 15%. So it will now cost 115% of £376, i.e. 1.15 × £376 = £432.40.