Fractions And Percentages Worksheet Page 26
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28MEP Pupil Text 11
(b)
Repeat (a) for a car which cost £12 000.
(c)
Comment on your answers.
10.
A couple borrow £1000 to furnish their new home. They have to pay interest of
18% on this amount.
(a)
Find the amount of interest which would be charged at the end of the first year.
(b)
If they repay £300 at the end of each year, how much do they owe at the end
of the third year of the loan?
11.9 Reverse Percentage Problems
Sometimes it is necessary to reverse percentage problems. For example if the price of a
television includes VAT, you might need to know how much of the price is the VAT.
Worked Example 1
1
The price of a computer is £1410, including VAT at
17
%. Find the actual cost of the
2
computer and the amount of VAT which has to be paid.
Solution
To add 17.5% VAT to a price it should be multiplied by 1.175. So to remove the VAT it
should be divided by 1.175.
£
1410
=
Original Price
1 175
.
= £1200
.
=
−
VAT
£
1410
£
1200
= £210
.
Worked Example 2
A customer is offered a 20% discount when buying a new bed. The discounted price is
£158.40. Find the full price of the bed.
Solution
To find the discounted price of the bed, the full price should be multiplied by 0.8.
So to find the full price, the discounted price should be divided by 0.8.
£
158 40
.
=
Full price
0 8
.
= £198
.
Worked Example 3
Sharon invests some money in a building society at 6% interest per annum. After two
years the value of her investment is £280.90. Find the amount she invested.
259
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