Adam spends $900 of his income and saves the rest.
When he increases his spending by 40%, his savings decreases by 10%
- 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% |
- 10 u |
After |
140% |
90 u |
(a)
40% of Adam's spending = 10% of Adam's savings
100% of Adam's spending = $900
1% of Adam's spending = 900 ÷ 100 = $9
40% of Adam's spending = 40 x 9 = $360
10 u of Adam's savings = $360
1 u of Adam's savings = 360 ÷ 10 = $36
100 u of Adam's savings = 100 x 36 = $3600
Amount of Adam's savings at first
= 100 u
= $3600
(b)
Amount of savings in the end
= 90 u
= 90 x 36
= $3240
(c)
Adam's income
= 100% + 100 u
= 900 + 3600
= $4500
Answer(s): (a) $3600; (b) $3240; (c) $4500