Daniel saves 30% of his allowance. When his allowance was decreased by 20%, his savings decreased proportionately to $192. What was his original allowance?
| |
Savings |
Spending |
Total |
| Before |
30% |
70% |
100% |
| Change |
- 6% |
- 14% |
- 20% |
| After |
24% |
56% |
80% |
New allowance after it was decreased by 20%
= 100% - 20%
= 80%
Decrease in savings
= 20% x 30%
=
20100 x 30%
= 6%
New savings in percentage
= 30% - 6%
= 24%
24% of the original allowance = 192
1% of the original allowance = 192 ÷ 24 = 8
100% of the original allowance = 10 x 8 = 800
Daniel's original allowance = $800
Answer(s): $800
