Adam spends $900 of his income and saves the rest.
When he increases his savings by 20%, his spending decreases by 15%
- 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 |
+ 20% |
- 15 u |
After |
120% |
85 u |
(a)
20% of Adam's savings = 15% of Adam's spending
100% of Adam's savings = $900
1% of Adam's savings = 900 ÷ 100 = $9
20% of Adam's savings = 20 x 9 = $180
15 u of Adam's spending = $180
1 u of Adam's spending = 180 ÷ 15 = $12
100 u of Adam's spending = 100 x 12 = $1200
Amount of Adam's spending at first
= 100 u
= $1200
(b)
Amount of spending in the end
= 85 u
= 85 x 12
= $1020
(c)
Adam's income
= 100% + 100 u
= 900 + 1200
= $2100
Answer(s): (a) $1200; (b) $1020; (c) $2100