Page 88 - New Medley 5 Semester 2
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Converting Percentages into Decimals
We can convert percentages into decimals by expressing them first into
fractions.
Example 4: Convert the following percentages into decimals.
(a) 47% (b) 6% (c) 113%
47
Solution: (a) 47% = = 0.47
100
6
(b) 6% = = 0.06
100
113
(c) 113% = = 1.13
100
Percentage of a Number or Quantity
To calculate the value of the given percentage of a number or quantity,
we convert the percentage first into a fraction and then multiply it with
the given number or quantity.
Example 5: Find:
(a) 12% of 200 (b) 20% of 150 kg (c) 8% of `500
12
Solution: (a) 12% of 200 = × 20 0 = 12 × 2 = 24
10 0
20
(b) 20% of 150 kg = × 150 = 2 × 15 = 30 kg
10 0
8
(c) 8% of `500 = × 50 0 = 8 × 5 = `40
10 0
Example 6: Abida scored 86% marks in her first-term examination.
If the total marks are 500, find her score.
86
Solution: Marks scored by Abida = 86% of 500 = × 500 = 430
100
Thus, she scored 430 marks in all.
86
