Adam spends $600 of his income and saves the rest.
When he increases his spending by 20%, his savings decreases by 30%
- 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 |
+ 20% |
- 30 u |
After |
120% |
70 u |
(a)
20% of Adam's spending = 30% of Adam's savings
100% of Adam's spending = $600
1% of Adam's spending = 600 ÷ 100 = $6
20% of Adam's spending = 20 x 6 = $120
30 u of Adam's savings = $120
1 u of Adam's savings = 120 ÷ 30 = $4
100 u of Adam's savings = 100 x 4 = $400
Amount of Adam's savings at first
= 100 u
= $400
(b)
Amount of savings in the end
= 70 u
= 70 x 4
= $280
(c)
Adam's income
= 100% + 100 u
= 600 + 400
= $1000
Answer(s): (a) $400; (b) $280; (c) $1000