Adam spends $800 of his income and saves the rest.
When he increases his spending by 30%, 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 |
+ 30% |
- 5 u |
| After |
130% |
95 u |
(a)
30% of Adam's spending = 5% of Adam's savings
100% of Adam's spending = $800
1% of Adam's spending = 800 ÷ 100 = $8
30% of Adam's spending = 30 x 8 = $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
= 800 + 4800
= $5600
Answer(s): (a) $4800; (b) $4560; (c) $5600
