Video: AQA GCSE Mathematics Higher Tier Pack 4 • Paper 1 • Question 3

Circle the calculation that represents a 16% increase of 3000. [A] 3000 × 1.16 [B] 3000 × 1.6 [C] 3000 × 0.16 [D] 3000 × 1.016?

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Video Transcript

Circle the calculation that represents a 16-percent increase of 3000. Is it 3000 multiplied by 1.16, 3000 multiplied by 1.6, 3000 multiplied by 0.16, or 3000 multiplied by 1.016?

Remember, the original value is always 100 percent of the number. Since we are going to be increasing the original number by 16 percent, that means we’re adding it on. 100 plus 16 is 116. So an increase of 16 percent is 116 percent of the original number.

To find the corresponding decimal multiplier — that’s the decimal that we can multiply 3000 by to increase it by 16 percent — we recall that “percent” means out of 100. We can therefore change from a percentage to a decimal by dividing by 100. To divide by 100, we move the digits to the right two spaces.

We can see on the place value grid that when we move the digits of 116 to the right two spaces, the first one moves into the units column, the second one moves into the tenths column, and the six moves into the hundredths column. So 116 percent is equal to 1.16.

We said this is the decimal we multiply the original number by to increase it by 16 percent. So the calculation that represents a 16-percent increase of 3000 is 3000 multiplied by 1.16. In fact, this second one is an increase of 60 percent. This third one is simply 16 percent of 3000. And this final one is just an increase of 1.6 percent. The correct answer then is 3000 multiplied by 1.16.

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