Adam spends $1000 of his income and saves the rest.
When he increases his savings by 5%, his spending decreases by 25%
- How much is Adam's spending at first?
- How much is Adam's spending in the end?
- How much is Adam's income?
|
Savings |
Spending |
Before |
100% |
100 u |
Change |
+ 5% |
- 25 u |
After |
105% |
75 u |
(a)
5% of Adam's savings = 25% of Adam's spending
100% of Adam's savings = $1000
1% of Adam's savings = 1000 ÷ 100 = $10
5% of Adam's savings = 5 x 10 = $50
25 u of Adam's spending = $50
1 u of Adam's spending = 50 ÷ 25 = $2
100 u of Adam's spending = 100 x 2 = $200
Amount of Adam's spending at first
= 100 u
= $200
(b)
Amount of spending in the end
= 75 u
= 75 x 2
= $150
(c)
Adam's income
= 100% + 100 u
= 1000 + 200
= $1200
Answer(s): (a) $200; (b) $150; (c) $1200