Henry saves 10% of his allowance. When his allowance was increased by 20%, his savings rose proportionately to $180. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
10% |
90% |
100% |
| Change |
+ 2% |
+ 18% |
+ 20% |
| After |
12% |
108% |
120% |
New allowance after it was increased by 20%
= 100% + 20%
= 120%
Increase in savings
= 20% x 10%
=
20100 x 10%
= 2%
New savings in percentage
= 10% + 2%
= 12%
12% of the original allowance = 180
1% of the original allowance = 180 ÷ 12 = 15
100% of the original allowance = 100 x 15 = 1500
Henry's original allowance = $1500
Answer(s): $1500
