Adam spends $200 of his income and saves the rest.
When he increases his savings by 15%, his spending decreases by 30%
- 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 |
+ 15% |
- 30 u |
After |
115% |
70 u |
(a)
15% of Adam's savings = 30% of Adam's spending
100% of Adam's savings = $200
1% of Adam's savings = 200 ÷ 100 = $2
15% of Adam's savings = 15 x 2 = $30
30 u of Adam's spending = $30
1 u of Adam's spending = 30 ÷ 30 = $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
= 70 u
= 70 x 1
= $70
(c)
Adam's income
= 100% + 100 u
= 200 + 100
= $300
Answer(s): (a) $100; (b) $70; (c) $300