Asher saves 15% of his allowance. When his allowance was increased by 20%, his savings rose proportionately to $198. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
15% |
85% |
100% |
| Change |
+ 3% |
+ 17% |
+ 20% |
| After |
18% |
102% |
120% |
New allowance after it was increased by 20%
= 100% + 20%
= 120%
Increase in savings
= 20% x 15%
=
20100 x 15%
= 3%
New savings in percentage
= 15% + 3%
= 18%
18% of the original allowance = 198
1% of the original allowance = 198 ÷ 18 = 11
100% of the original allowance = 100 x 11 = 1100
Asher's original allowance = $1100
Answer(s): $1100
