In April, Ben gave his wife, Anna, $7000 for household expenditure. Anna spent 50% of the sum on rental, 20% on food and saved the rest. In May, Ben reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 20% of the sum given to her in May. By what percentage was the sum given to Anna reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
50% |
20% |
30% |
$7000 |
Change |
|
- 6% |
- ? |
- ? |
After |
50% |
14% |
|
|
Comparing the amounts spent in May |
80 u |
20 u |
100 u |
Amount that Ben saved in percent
= 100% - 50% - 20%
= 30%
Amount that Ben reduced on food in percent
= 30% x 20%
=
30100 x 20
= 6%
Total amount that Ben spent on rental and food in percent
= 50% + 14%
= 64%
100% → 7000
1% → 7000 ÷ 100 = 70
64% → 64 x 70 = 4480
The total amount that Ben spent on rental and food is repeated.
80 u = 64%
80 u = 4480
1 u = 4480 ÷ 80 = 56
Amount that Ben gave to Anna in May
= 100 u
= 100 x 56
= $5600
Amount that Anna received less from Ben from April to May
= 7000 - 5600
= $1400
Percentage that the sum given to Anna was reduced by from April to May
=
14007000 x 100%
= 20%
Answer(s): 20%