Adam spends $300 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 = $300
1% of Adam's spending = 300 ÷ 100 = $3
40% of Adam's spending = 40 x 3 = $120
10 u of Adam's savings = $120
1 u of Adam's savings = 120 ÷ 10 = $12
100 u of Adam's savings = 100 x 12 = $1200
Amount of Adam's savings at first
= 100 u
= $1200
(b)
Amount of savings in the end
= 90 u
= 90 x 12
= $1080
(c)
Adam's income
= 100% + 100 u
= 300 + 1200
= $1500
Answer(s): (a) $1200; (b) $1080; (c) $1500