Adam spends $800 of his income and saves the rest.
When he increases his savings by 5%, his spending decreases by 40%
- 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 |
+ 5% |
- 40 u |
After |
105% |
60 u |
(a)
5% of Adam's savings = 40% of Adam's spending
100% of Adam's savings = $800
1% of Adam's savings = 800 ÷ 100 = $8
5% of Adam's savings = 5 x 8 = $40
40 u of Adam's spending = $40
1 u of Adam's spending = 40 ÷ 40 = $1
100 u of Adam's spending = 100 x 1 = $100
Amount of Adam's spending at first
= 100 u
= $100
(b)
Amount of spending in the end
= 60 u
= 60 x 1
= $60
(c)
Adam's income
= 100% + 100 u
= 800 + 100
= $900
Answer(s): (a) $100; (b) $60; (c) $900