Archie saved $160 and spent the rest of his money. If he increased his savings by 10%, his spending would decrease by 40%. How much money did Archie have?
| |
Spent (%) |
Saved (u) |
| Before |
100%
$160 |
100u |
| Change |
+ 10% |
- 40u |
| After |
110% |
60u |
Increase in savings = Decrease in spending
10% savings =
40u spending 100% savings = 160
1% savings = 160 ÷ 100 = 1.6
10% savings = 10 x 1.6 = 16
40 u spending = 161 u spending = 16 ÷ 40 = 0.4100 u spending = 100 x 0.4 = 40 Amount that Archie had
= 160 + 40
= $200
Answer(s): $200
