Adam spends $600 of his income and saves the rest.
When he increases his spending by 30%, his savings decreases by 5%
- How much is Adam's savings at first?
- How much is Adam's savings in the end?
- How much is Adam's income?
|
Spending |
Savings |
Before |
100% |
100 u |
Change |
+ 30% |
- 5 u |
After |
130% |
95 u |
(a)
30% of Adam's spending = 5% of Adam's savings
100% of Adam's spending = $600
1% of Adam's spending = 600 ÷ 100 = $6
30% of Adam's spending = 30 x 6 = $180
5 u of Adam's savings = $180
1 u of Adam's savings = 180 ÷ 5 = $36
100 u of Adam's savings = 100 x 36 = $3600
Amount of Adam's savings at first
= 100 u
= $3600
(b)
Amount of savings in the end
= 95 u
= 95 x 36
= $3420
(c)
Adam's income
= 100% + 100 u
= 600 + 3600
= $4200
Answer(s): (a) $3600; (b) $3420; (c) $4200