In April, Justin gave his wife, Gillian, $8000 for household expenditure. Gillian spent 60% of the sum on rental, 20% on food and saved the rest. In May, Justin reduced the sum he gave to Gillian. Gillian spent the same amount on rental and reduced the amount she spent on food by 25%. She saved the remaining 20% of the sum given to her in May. By what percentage was the sum given to Gillian reduced by?
|
Rental |
Food |
Savings |
Total |
Before |
60% |
20% |
20% |
$8000 |
Change |
|
- 5% |
- ? |
- ? |
After |
60% |
15% |
|
|
Comparing the amounts spent in May |
80 u |
20 u |
100 u |
Amount that Justin saved in percent
= 100% - 60% - 20%
= 20%
Amount that Justin reduced on food in percent
= 25% x 20%
=
25100 x 20
= 5%
Total amount that Justin spent on rental and food in percent
= 60% + 15%
= 75%
100% → 8000
1% → 8000 ÷ 100 = 80
75% → 75 x 80 = 6000
The total amount that Justin spent on rental and food is repeated.
80 u = 75%
80 u = 6000
1 u = 6000 ÷ 80 = 75
Amount that Justin gave to Gillian in May
= 100 u
= 100 x 75
= $7500
Amount that Gillian received less from Justin from April to May
= 8000 - 7500
= $500
Percentage that the sum given to Gillian was reduced by from April to May
=
5008000 x 100%
= 6.25%
Answer(s): 6.25%