Adam spends $600 of his income and saves the rest.
When he increases his savings by 20%, his spending decreases by 10%
- 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% |
- 10 u |
After |
120% |
90 u |
(a)
20% of Adam's savings = 10% of Adam's spending
100% of Adam's savings = $600
1% of Adam's savings = 600 ÷ 100 = $6
20% of Adam's savings = 20 x 6 = $120
10 u of Adam's spending = $120
1 u of Adam's spending = 120 ÷ 10 = $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
= 90 u
= 90 x 12
= $1080
(c)
Adam's income
= 100% + 100 u
= 600 + 1200
= $1800
Answer(s): (a) $1200; (b) $1080; (c) $1800