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