In March, Zane gave his wife, Julie, $5000 for household expenditure. Julie spent 50% of the sum on rental, 20% on food and saved the rest. In April, Zane reduced the sum he gave to Julie. Julie spent the same amount on rental and reduced the amount she spent on food by 20%. She saved the remaining 25% of the sum given to her in April. By what percentage was the sum given to Julie reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
50% |
20% |
30% |
$5000 |
Change |
|
- 4% |
- ? |
- ? |
After |
50% |
16% |
|
|
Comparing the amounts spent in April |
75 u |
25 u |
100 u |
Amount that Zane saved in percent
= 100% - 50% - 20%
= 30%
Amount that Zane reduced on food in percent
= 20% x 20%
=
20100 x 20
= 4%
Total amount that Zane spent on rental and food in percent
= 50% + 16%
= 66%
100% → 5000
1% → 5000 ÷ 100 = 50
66% → 66 x 50 = 3300
The total amount that Zane spent on rental and food is repeated.
75 u = 66%
75 u = 3300
1 u = 3300 ÷ 75 = 44
Amount that Zane gave to Julie in April
= 100 u
= 100 x 44
= $4400
Amount that Julie received less from Zane from March to April
= 5000 - 4400
= $600
Percentage that the sum given to Julie was reduced by from March to April
=
6005000 x 100%
= 12%
Answer(s): 12%