In March, Oscar gave his wife, Pamela, $4000 for household expenditure. Pamela spent 60% of the sum on rental, 10% on food and saved the rest. In April, Oscar reduced the sum he gave to Pamela. Pamela 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 April. By what percentage was the sum given to Pamela reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
10% |
30% |
$4000 |
Change |
|
- 2% |
- ? |
- ? |
After |
60% |
8% |
|
|
Comparing the amounts spent in April |
80 u |
20 u |
100 u |
Amount that Oscar saved in percent
= 100% - 60% - 10%
= 30%
Amount that Oscar reduced on food in percent
= 20% x 10%
=
20100 x 10
= 2%
Total amount that Oscar spent on rental and food in percent
= 60% + 8%
= 68%
100% → 4000
1% → 4000 ÷ 100 = 40
68% → 68 x 40 = 2720
The total amount that Oscar spent on rental and food is repeated.
80 u = 68%
80 u = 2720
1 u = 2720 ÷ 80 = 34
Amount that Oscar gave to Pamela in April
= 100 u
= 100 x 34
= $3400
Amount that Pamela received less from Oscar from March to April
= 4000 - 3400
= $600
Percentage that the sum given to Pamela was reduced by from March to April
=
6004000 x 100%
= 15%
Answer(s): 15%