Adam spends $700 of his income and saves the rest.
When he increases his savings by 20%, his spending decreases by 10%
- 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 |
+ 20% |
- 10 u |
After |
120% |
90 u |
(a)
20% of Adam's savings = 10% of Adam's spending
100% of Adam's savings = $700
1% of Adam's savings = 700 ÷ 100 = $7
20% of Adam's savings = 20 x 7 = $140
10 u of Adam's spending = $140
1 u of Adam's spending = 140 ÷ 10 = $14
100 u of Adam's spending = 100 x 14 = $1400
Amount of Adam's spending at first
= 100 u
= $1400
(b)
Amount of spending in the end
= 90 u
= 90 x 14
= $1260
(c)
Adam's income
= 100% + 100 u
= 700 + 1400
= $2100
Answer(s): (a) $1400; (b) $1260; (c) $2100