Adam spends $600 of his income and saves the rest.
When he increases his spending by 20%, his savings decreases by 15%
- 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% |
- 15 u |
After |
120% |
85 u |
(a)
20% of Adam's spending = 15% 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
15 u of Adam's savings = $120
1 u of Adam's savings = 120 ÷ 15 = $8
100 u of Adam's savings = 100 x 8 = $800
Amount of Adam's savings at first
= 100 u
= $800
(b)
Amount of savings in the end
= 85 u
= 85 x 8
= $680
(c)
Adam's income
= 100% + 100 u
= 600 + 800
= $1400
Answer(s): (a) $800; (b) $680; (c) $1400