In May, Andy gave his wife, Jade, $8000 for household expenditure. Jade spent 50% of the sum on rental, 30% on food and saved the rest. In June, Andy reduced the sum he gave to Jade. Jade 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 June. By what percentage was the sum given to Jade reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
50% |
30% |
20% |
$8000 |
Change |
|
- 6% |
- ? |
- ? |
After |
50% |
24% |
|
|
Comparing the amounts spent in June |
80 u |
20 u |
100 u |
Amount that Andy saved in percent
= 100% - 50% - 30%
= 20%
Amount that Andy reduced on food in percent
= 20% x 30%
=
20100 x 30
= 6%
Total amount that Andy spent on rental and food in percent
= 50% + 24%
= 74%
100% → 8000
1% → 8000 ÷ 100 = 80
74% → 74 x 80 = 5920
The total amount that Andy spent on rental and food is repeated.
80 u = 74%
80 u = 5920
1 u = 5920 ÷ 80 = 74
Amount that Andy gave to Jade in June
= 100 u
= 100 x 74
= $7400
Amount that Jade received less from Andy from May to June
= 8000 - 7400
= $600
Percentage that the sum given to Jade was reduced by from May to June
=
6008000 x 100%
= 7.5%
Answer(s): 7.5%