In February, George gave his wife, Min, $4000 for household expenditure. Min spent 60% of the sum on rental, 20% on food and saved the rest. In March, George reduced the sum he gave to Min. Min spent the same amount on rental and reduced the amount she spent on food by 20%. She saved the remaining 20% of the sum given to her in March. By what percentage was the sum given to Min reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
20% |
20% |
$4000 |
Change |
|
- 4% |
- ? |
- ? |
After |
60% |
16% |
|
|
Comparing the amounts spent in March |
80 u |
20 u |
100 u |
Amount that George saved in percent
= 100% - 60% - 20%
= 20%
Amount that George reduced on food in percent
= 20% x 20%
=
20100 x 20
= 4%
Total amount that George spent on rental and food in percent
= 60% + 16%
= 76%
100% → 4000
1% → 4000 ÷ 100 = 40
76% → 76 x 40 = 3040
The total amount that George spent on rental and food is repeated.
80 u = 76%
80 u = 3040
1 u = 3040 ÷ 80 = 38
Amount that George gave to Min in March
= 100 u
= 100 x 38
= $3800
Amount that Min received less from George from February to March
= 4000 - 3800
= $200
Percentage that the sum given to Min was reduced by from February to March
=
2004000 x 100%
= 5%
Answer(s): 5%