In February, Flynn gave his wife, Elyse, $6000 for household expenditure. Elyse spent 60% of the sum on rental, 10% on food and saved the rest. In March, Flynn reduced the sum he gave to Elyse. Elyse 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 Elyse reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
10% |
30% |
$6000 |
Change |
|
- 2% |
- ? |
- ? |
After |
60% |
8% |
|
|
Comparing the amounts spent in March |
80 u |
20 u |
100 u |
Amount that Flynn saved in percent
= 100% - 60% - 10%
= 30%
Amount that Flynn reduced on food in percent
= 20% x 10%
=
20100 x 10
= 2%
Total amount that Flynn spent on rental and food in percent
= 60% + 8%
= 68%
100% → 6000
1% → 6000 ÷ 100 = 60
68% → 68 x 60 = 4080
The total amount that Flynn spent on rental and food is repeated.
80 u = 68%
80 u = 4080
1 u = 4080 ÷ 80 = 51
Amount that Flynn gave to Elyse in March
= 100 u
= 100 x 51
= $5100
Amount that Elyse received less from Flynn from February to March
= 6000 - 5100
= $900
Percentage that the sum given to Elyse was reduced by from February to March
=
9006000 x 100%
= 15%
Answer(s): 15%