Adam spends $900 of his income and saves the rest.
When he increases his savings by 15%, 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 |
+ 15% |
- 5 u |
After |
115% |
95 u |
(a)
15% of Adam's savings = 5% of Adam's spending
100% of Adam's savings = $900
1% of Adam's savings = 900 ÷ 100 = $9
15% of Adam's savings = 15 x 9 = $135
5 u of Adam's spending = $135
1 u of Adam's spending = 135 ÷ 5 = $27
100 u of Adam's spending = 100 x 27 = $2700
Amount of Adam's spending at first
= 100 u
= $2700
(b)
Amount of spending in the end
= 95 u
= 95 x 27
= $2565
(c)
Adam's income
= 100% + 100 u
= 900 + 2700
= $3600
Answer(s): (a) $2700; (b) $2565; (c) $3600