In March, Cole gave his wife, Jean, $8000 for household expenditure. Jean spent 50% of the sum on rental, 10% on food and saved the rest. In April, Cole reduced the sum he gave to Jean. Jean spent the same amount on rental and reduced the amount she spent on food by 10%. She saved the remaining 20% of the sum given to her in April. By what percentage was the sum given to Jean reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
50% |
10% |
40% |
$8000 |
Change |
|
- 1% |
- ? |
- ? |
After |
50% |
9% |
|
|
Comparing the amounts spent in April |
80 u |
20 u |
100 u |
Amount that Cole saved in percent
= 100% - 50% - 10%
= 40%
Amount that Cole reduced on food in percent
= 10% x 10%
=
10100 x 10
= 1%
Total amount that Cole spent on rental and food in percent
= 50% + 9%
= 59%
100% → 8000
1% → 8000 ÷ 100 = 80
59% → 59 x 80 = 4720
The total amount that Cole spent on rental and food is repeated.
80 u = 59%
80 u = 4720
1 u = 4720 ÷ 80 = 59
Amount that Cole gave to Jean in April
= 100 u
= 100 x 59
= $5900
Amount that Jean received less from Cole from March to April
= 8000 - 5900
= $2100
Percentage that the sum given to Jean was reduced by from March to April
=
21008000 x 100%
= 26.25%
Answer(s): 26.25%