Albert saves 5% of his allowance. When his allowance was increased by 40%, his savings rose proportionately to $196. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
5% |
95% |
100% |
| Change |
+ 2% |
+ 38% |
+ 40% |
| After |
7% |
133% |
140% |
New allowance after it was increased by 40%
= 100% + 40%
= 140%
Increase in savings
= 40% x 5%
=
40100 x 5%
= 2%
New savings in percentage
= 5% + 2%
= 7%
7% of the original allowance = 196
1% of the original allowance = 196 ÷ 7 = 28
100% of the original allowance = 100 x 28 = 2800
Albert's original allowance = $2800
Answer(s): $2800
