Carl saves 20% of his allowance. When his allowance was increased by 30%, his savings rose proportionately to $182. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
20% |
80% |
100% |
| Change |
+ 6% |
+ 24% |
+ 30% |
| After |
26% |
104% |
130% |
New allowance after it was increased by 30%
= 100% + 30%
= 130%
Increase in savings
= 30% x 20%
=
30100 x 20%
= 6%
New savings in percentage
= 20% + 6%
= 26%
26% of the original allowance = 182
1% of the original allowance = 182 ÷ 26 = 7
100% of the original allowance = 100 x 7 = 700
Carl's original allowance = $700
Answer(s): $700
