In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
The percentage chart is given here for fractions converted into percentage.
| Fractions | Percentage |
| 1/2 | 50% |
| 1/3 | 33.33% |
| 1/4 | 25% |
| 1/5 | 20% |
| 1/6 | 16.66% |
| 1/7 | 14.28% |
| 1/8 | 12.5% |
| 1/9 | 11.11% |
| 1/10 | 10% |
| 1/11 | 9.09% |
| 1/12 | 8.33% |
| 1/13 | 7.69% |
| 1/14 | 7.14% |
| 1/15 | 6.66% |
A salesman bought 200 apples and 200 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.
Solution:
Total number of fruits salesman bought = 200 + 200 = 400
Number of rotten apples = 15% of 200
= 15/100 × 200
=15x 200
= 3000/100
= 30
Number of rotten bananas = 8% of 200
= 8/100 × 200
= 200×8
= 1600/100
= 16
hence, total number of rotten fruits = 30 + 16 = 42
rotten fruits
30 apples
16 bananas
Therefore the Number of fruits in good condition = 400 – 42 = 358
fruits in good condition
170 apples
186 bananas
Find 10 % of $ 1500
Solution:
10 % of $ 1500
= 10/100 × 1500
= $150
Find 10 % of 900
Solution:
15% of 900
= 15/100 × 900
= 135
A fruit seller had some mangoes. He sells 40% mangoes and still has 420 mangoes left. Originally, he had how many mangoes?
NB: Let X be the mangoes he had originally.
solution
(100 – 40)% of M = 420
⇒ (60/100)xM = 420
⇒ M = (420 x 100/60) = 700
How to Express percentage as decimals:
(i) 21 % = 21/100 = 0.21
(ii) 16 % = 16/100 = 0.16
(iii) 25 % = 22/100 = 0.25
(iv) 5 % = 5/100 = 0.05
(v) 50 % = 50/100 = 0.50
Questions and Answers on Percentage into Decimal:
I. Convert the following percentages to decimals:
(i) 15%
(ii) 13%
(iii) 20%
(iv) 75%
(v) 45%
(vi) 86%
Answers:
(i) 0.15
(ii) 0.13
(iii) 0.2
(iv) 0.75
(v) 0.44
(vi) 0.86
| Percent | Decimal | Fraction |
|---|---|---|
| 10% | 0.1 | 1/10 |
| 12½% | 0.125 | 1/8 |
| 20% | 0.2 | 1/5 |
| 25% 75% | 0.25 0.75 | 1/4 3/4 |
