Ian saves 15% of his allowance. When his allowance was increased by 40%, his savings rose proportionately to $210. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
15% |
85% |
100% |
| Change |
+ 6% |
+ 34% |
+ 40% |
| After |
21% |
119% |
140% |
New allowance after it was increased by 40%
= 100% + 40%
= 140%
Increase in savings
= 40% x 15%
=
40100 x 15%
= 6%
New savings in percentage
= 15% + 6%
= 21%
21% of the original allowance = 210
1% of the original allowance = 210 ÷ 21 = 10
100% of the original allowance = 100 x 10 = 1000
Ian's original allowance = $1000
Answer(s): $1000
