Adam spends $200 of his income and saves the rest.
When he increases his spending by 25%, 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 |
+ 25% |
- 10 u |
After |
125% |
90 u |
(a)
25% of Adam's spending = 10% of Adam's savings
100% of Adam's spending = $200
1% of Adam's spending = 200 ÷ 100 = $2
25% of Adam's spending = 25 x 2 = $50
10 u of Adam's savings = $50
1 u of Adam's savings = 50 ÷ 10 = $5
100 u of Adam's savings = 100 x 5 = $500
Amount of Adam's savings at first
= 100 u
= $500
(b)
Amount of savings in the end
= 90 u
= 90 x 5
= $450
(c)
Adam's income
= 100% + 100 u
= 200 + 500
= $700
Answer(s): (a) $500; (b) $450; (c) $700