At the farm, the sheep population increased by 20% in the second month and then by a further 25% in the next 9 months. If there were 1500 sheep in the end, how many sheep were there at the farm at first?
|
Sheep |
Before |
100% |
Change 1 |
+ 20% |
After 1 |
120% |
Change 2 |
+ 30% |
After 2 |
150% |
Population of sheep at first = 100%
New population of sheep after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 25% x 120%
=
25100 x 120%
= 30%
New population of sheep after second increase
= 120% + 30%
= 150%
150% of sheep population = 1500
1% of the sheep population
= 1500 ÷ 150
= 10
100% of sheep population
= 100 x 10
= 1000
Number of sheep at first = 1000
Answer(s): 1000