Adam spends $600 of his income and saves the rest.
When he increases his spending by 5%, his savings decreases by 10%
- 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 |
+ 5% |
- 10 u |
After |
105% |
90 u |
(a)
5% of Adam's spending = 10% of Adam's savings
100% of Adam's spending = $600
1% of Adam's spending = 600 ÷ 100 = $6
5% of Adam's spending = 5 x 6 = $30
10 u of Adam's savings = $30
1 u of Adam's savings = 30 ÷ 10 = $3
100 u of Adam's savings = 100 x 3 = $300
Amount of Adam's savings at first
= 100 u
= $300
(b)
Amount of savings in the end
= 90 u
= 90 x 3
= $270
(c)
Adam's income
= 100% + 100 u
= 600 + 300
= $900
Answer(s): (a) $300; (b) $270; (c) $900