In May, Owen gave his wife, Eva, $8000 for household expenditure. Eva spent 60% of the sum on rental, 10% on food and saved the rest. In June, Owen reduced the sum he gave to Eva. Eva 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 June. By what percentage was the sum given to Eva reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
10% |
30% |
$8000 |
Change |
|
- 1% |
- ? |
- ? |
After |
60% |
9% |
|
|
Comparing the amounts spent in June |
80 u |
20 u |
100 u |
Amount that Owen saved in percent
= 100% - 60% - 10%
= 30%
Amount that Owen reduced on food in percent
= 10% x 10%
=
10100 x 10
= 1%
Total amount that Owen spent on rental and food in percent
= 60% + 9%
= 69%
100% → 8000
1% → 8000 ÷ 100 = 80
69% → 69 x 80 = 5520
The total amount that Owen spent on rental and food is repeated.
80 u = 69%
80 u = 5520
1 u = 5520 ÷ 80 = 69
Amount that Owen gave to Eva in June
= 100 u
= 100 x 69
= $6900
Amount that Eva received less from Owen from May to June
= 8000 - 6900
= $1100
Percentage that the sum given to Eva was reduced by from May to June
=
11008000 x 100%
= 13.75%
Answer(s): 13.75%