Adam spends $1000 of his income and saves the rest.
When he increases his savings by 30%, 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 |
+ 30% |
- 5 u |
After |
130% |
95 u |
(a)
30% of Adam's savings = 5% of Adam's spending
100% of Adam's savings = $1000
1% of Adam's savings = 1000 ÷ 100 = $10
30% of Adam's savings = 30 x 10 = $300
5 u of Adam's spending = $300
1 u of Adam's spending = 300 ÷ 5 = $60
100 u of Adam's spending = 100 x 60 = $6000
Amount of Adam's spending at first
= 100 u
= $6000
(b)
Amount of spending in the end
= 95 u
= 95 x 60
= $5700
(c)
Adam's income
= 100% + 100 u
= 1000 + 6000
= $7000
Answer(s): (a) $6000; (b) $5700; (c) $7000