Jeremy saves 5% 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 |
5% |
95% |
100% |
Change |
+ 1% |
+ 19% |
+ 20% |
After |
6% |
114% |
120% |
New allowance after it was increased by 20%
= 100% + 20%
= 120%
Increase in savings
= 20% x 5%
=
20100 x 5%
= 1%
New savings in percentage
= 5% + 1%
= 6%
6% of the original allowance = 198
1% of the original allowance = 198 ÷ 6 = 33
100% of the original allowance = 100 x 33 = 3300
Jeremy's original allowance = $3300
Answer(s): $3300