Adam spends $600 of his income and saves the rest.
When he increases his spending by 40%, 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 |
+ 40% |
- 5 u |
After |
140% |
95 u |
(a)
40% of Adam's spending = 5% of Adam's savings
100% of Adam's spending = $600
1% of Adam's spending = 600 ÷ 100 = $6
40% of Adam's spending = 40 x 6 = $240
5 u of Adam's savings = $240
1 u of Adam's savings = 240 ÷ 5 = $48
100 u of Adam's savings = 100 x 48 = $4800
Amount of Adam's savings at first
= 100 u
= $4800
(b)
Amount of savings in the end
= 95 u
= 95 x 48
= $4560
(c)
Adam's income
= 100% + 100 u
= 600 + 4800
= $5400
Answer(s): (a) $4800; (b) $4560; (c) $5400