Warren saves 10% 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 |
10% |
90% |
100% |
| Change |
+ 3% |
+ 27% |
+ 30% |
| After |
13% |
117% |
130% |
New allowance after it was increased by 30%
= 100% + 30%
= 130%
Increase in savings
= 30% x 10%
=
30100 x 10%
= 3%
New savings in percentage
= 10% + 3%
= 13%
13% of the original allowance = 182
1% of the original allowance = 182 ÷ 13 = 14
100% of the original allowance = 100 x 14 = 1400
Warren's original allowance = $1400
Answer(s): $1400
