Adam spends $1000 of his income and saves the rest.
When he increases his spending by 15%, 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 |
+ 15% |
- 5 u |
After |
115% |
95 u |
(a)
15% of Adam's spending = 5% of Adam's savings
100% of Adam's spending = $1000
1% of Adam's spending = 1000 ÷ 100 = $10
15% of Adam's spending = 15 x 10 = $150
5 u of Adam's savings = $150
1 u of Adam's savings = 150 ÷ 5 = $30
100 u of Adam's savings = 100 x 30 = $3000
Amount of Adam's savings at first
= 100 u
= $3000
(b)
Amount of savings in the end
= 95 u
= 95 x 30
= $2850
(c)
Adam's income
= 100% + 100 u
= 1000 + 3000
= $4000
Answer(s): (a) $3000; (b) $2850; (c) $4000