Adam spends $900 of his income and saves the rest.
When he increases his spending by 10%, his savings decreases by 15%
- 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 |
+ 10% |
- 15 u |
After |
110% |
85 u |
(a)
10% of Adam's spending = 15% of Adam's savings
100% of Adam's spending = $900
1% of Adam's spending = 900 ÷ 100 = $9
10% of Adam's spending = 10 x 9 = $90
15 u of Adam's savings = $90
1 u of Adam's savings = 90 ÷ 15 = $6
100 u of Adam's savings = 100 x 6 = $600
Amount of Adam's savings at first
= 100 u
= $600
(b)
Amount of savings in the end
= 85 u
= 85 x 6
= $510
(c)
Adam's income
= 100% + 100 u
= 900 + 600
= $1500
Answer(s): (a) $600; (b) $510; (c) $1500