Adam spends $800 of his income and saves the rest.
When he increases his savings by 25%, his spending decreases by 5%
- 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 |
+ 25% |
- 5 u |
After |
125% |
95 u |
(a)
25% of Adam's savings = 5% of Adam's spending
100% of Adam's savings = $800
1% of Adam's savings = 800 ÷ 100 = $8
25% of Adam's savings = 25 x 8 = $200
5 u of Adam's spending = $200
1 u of Adam's spending = 200 ÷ 5 = $40
100 u of Adam's spending = 100 x 40 = $4000
Amount of Adam's spending at first
= 100 u
= $4000
(b)
Amount of spending in the end
= 95 u
= 95 x 40
= $3800
(c)
Adam's income
= 100% + 100 u
= 800 + 4000
= $4800
Answer(s): (a) $4000; (b) $3800; (c) $4800