In June, Daniel gave his wife, Jaslyn, $3000 for household expenditure. Jaslyn spent 60% of the sum on rental, 30% on food and saved the rest. In July, Daniel reduced the sum he gave to Jaslyn. Jaslyn spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 10% of the sum given to her in July. By what percentage was the sum given to Jaslyn reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
30% |
10% |
$3000 |
Change |
|
- 9% |
- ? |
- ? |
After |
60% |
21% |
|
|
Comparing the amounts spent in July |
90 u |
10 u |
100 u |
Amount that Daniel saved in percent
= 100% - 60% - 30%
= 10%
Amount that Daniel reduced on food in percent
= 30% x 30%
=
30100 x 30
= 9%
Total amount that Daniel spent on rental and food in percent
= 60% + 21%
= 81%
100% → 3000
1% → 3000 ÷ 100 = 30
81% → 81 x 30 = 2430
The total amount that Daniel spent on rental and food is repeated.
90 u = 81%
90 u = 2430
1 u = 2430 ÷ 90 = 27
Amount that Daniel gave to Jaslyn in July
= 100 u
= 100 x 27
= $2700
Amount that Jaslyn received less from Daniel from June to July
= 3000 - 2700
= $300
Percentage that the sum given to Jaslyn was reduced by from June to July
=
3003000 x 100%
= 10%
Answer(s): 10%