Adam spends $800 of his income and saves the rest.
When he increases his spending by 10%, 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 |
+ 10% |
- 20 u |
After |
110% |
80 u |
(a)
10% of Adam's spending = 20% of Adam's savings
100% of Adam's spending = $800
1% of Adam's spending = 800 ÷ 100 = $8
10% of Adam's spending = 10 x 8 = $80
20 u of Adam's savings = $80
1 u of Adam's savings = 80 ÷ 20 = $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
= 80 u
= 80 x 4
= $320
(c)
Adam's income
= 100% + 100 u
= 800 + 400
= $1200
Answer(s): (a) $400; (b) $320; (c) $1200