Adam spends $1000 of his income and saves the rest.
When he increases his savings by 35%, 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 |
+ 35% |
- 10 u |
| After |
135% |
90 u |
(a)
35% of Adam's savings = 10% of Adam's spending
100% of Adam's savings = $1000
1% of Adam's savings = 1000 ÷ 100 = $10
35% of Adam's savings = 35 x 10 = $350
10 u of Adam's spending = $350
1 u of Adam's spending = 350 ÷ 10 = $35
100 u of Adam's spending = 100 x 35 = $3500
Amount of Adam's spending at first
= 100 u
= $3500
(b)
Amount of spending in the end
= 90 u
= 90 x 35
= $3150
(c)
Adam's income
= 100% + 100 u
= 1000 + 3500
= $4500
Answer(s): (a) $3500; (b) $3150; (c) $4500
