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Percentages 3
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Don't forget, per cent means per hundred, e.g. 10% = 10⁄100. Suppose you were asked to find 10% of 50, how would you do it? This is how you would do it: 10⁄100 × 50 = (10 × 50) ÷ 100 = 5. It's as simple as that!
1.
What is 25% of 75?
0.1875
1.875
187.5
18.75
25% of 75 = 25⁄100 × 75 = (25 × 75) ÷ 100 = 18.75. DON'T forget: when you divide by 100, move the decimal point two places to the left
2.
Peter will earn 3.2% interest on £12,500. How much money will he earn in interest?
£40.00
£4.00
£400
£4,000
3.2% of £12,500 = 3.2⁄100 × 12,500 = (3.2 × 12,500) ÷ 100 = £400
3.
What is 40% of 18?
0.0072
0.72
72
7.2
40% of 18 = 40⁄100 × 18 = (40 × 18) ÷ 100 = 7.2
4.
Henry is paid £42,400 per annum (per year). If he gets a 3.4% pay increase, how much will he earn now per annum?
£43,841.60
£42,841.60
£40,958.40
£1,441.60
3.4% of £42,400 = 3.4⁄100 × 42,400 = (3.4 × 42,400) ÷ 100 = £1,441.60 BUT this is only the interest. He will now earn £42,400 + £1,441.60 = £43,841.60
5.
What is 5.5% of 100?
5.5
55
0.55
0.055
5.5% of 100 = 5.5⁄100 × 100 = (5.5 × 100) ÷ 100 = 5.5. You shouldn't have had to calculate anything in this question because X% of 100 = X for all values of X
6.
What is 62.5% of 12?
75
7.5
0.75
0.075
62.5% of 12 = 62.5⁄100 × 12 = (62.5 × 12) ÷ 100 = 7.5
7.
What is 60% of 250?
0.15
1.5
150
15
60% of 250 = 60⁄100 × 250 = (60 × 250) ÷ 100 = 150. DON'T forget: when you divide by 100, move the decimal point two places to the left
8.
If 70% of the population of a country of 60,000,000 have cell phones, what percentage don't have cell phones?
42%
30%
18%
60%
100% - 70% = 30%. The sum of the various percentages MUST add to 100%
9.
If John loses 25% of £900, how much does he lose?
£0.225
£2.25
£22.50
£225.00
25% of £90 = 25⁄100 × 900 = (25 × 900) ÷ 100 = £225
10.
What is 20% of 20% of 500?
100
20
200
2
20% of 500 = 20⁄100 × 500 = (20 × 500) ÷ 100 = 100 AND 20% of 100 = 20⁄100 × 100 = (20 × 100) ÷ 100 = 20. NOTE: 20% of 20% is NOT equal to 40%. The word 'OF' means multiply!
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