Harry saves 10% of his allowance. When his allowance was increased by 40%, his savings rose proportionately to $182. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
10% |
90% |
100% |
| Change |
+ 4% |
+ 36% |
+ 40% |
| After |
14% |
126% |
140% |
New allowance after it was increased by 40%
= 100% + 40%
= 140%
Increase in savings
= 40% x 10%
=
40100 x 10%
= 4%
New savings in percentage
= 10% + 4%
= 14%
14% of the original allowance = 182
1% of the original allowance = 182 ÷ 14 = 13
100% of the original allowance = 100 x 13 = 1300
Harry's original allowance = $1300
Answer(s): $1300
