Adam spends $800 of his income and saves the rest.
When he increases his spending by 10%, his savings decreases by 5%
- 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% |
- 5 u |
After |
110% |
95 u |
(a)
10% of Adam's spending = 5% 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
5 u of Adam's savings = $80
1 u of Adam's savings = 80 ÷ 5 = $16
100 u of Adam's savings = 100 x 16 = $1600
Amount of Adam's savings at first
= 100 u
= $1600
(b)
Amount of savings in the end
= 95 u
= 95 x 16
= $1520
(c)
Adam's income
= 100% + 100 u
= 800 + 1600
= $2400
Answer(s): (a) $1600; (b) $1520; (c) $2400