Adam spends $300 of his income and saves the rest.
When he increases his spending by 40%, his savings decreases by 20%
- 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 |
+ 40% |
- 20 u |
After |
140% |
80 u |
(a)
40% of Adam's spending = 20% of Adam's savings
100% of Adam's spending = $300
1% of Adam's spending = 300 ÷ 100 = $3
40% of Adam's spending = 40 x 3 = $120
20 u of Adam's savings = $120
1 u of Adam's savings = 120 ÷ 20 = $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
= 80 u
= 80 x 6
= $480
(c)
Adam's income
= 100% + 100 u
= 300 + 600
= $900
Answer(s): (a) $600; (b) $480; (c) $900