Adam spends $900 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 = $900
1% of Adam's spending = 900 ÷ 100 = $9
30% of Adam's spending = 30 x 9 = $270
5 u of Adam's savings = $270
1 u of Adam's savings = 270 ÷ 5 = $54
100 u of Adam's savings = 100 x 54 = $5400
Amount of Adam's savings at first
= 100 u
= $5400
(b)
Amount of savings in the end
= 95 u
= 95 x 54
= $5130
(c)
Adam's income
= 100% + 100 u
= 900 + 5400
= $6300
Answer(s): (a) $5400; (b) $5130; (c) $6300