In April, Caden gave his wife, Jean, $8000 for household expenditure. Jean spent 50% of the sum on rental, 30% on food and saved the rest. In May, Caden reduced the sum he gave to Jean. Jean spent the same amount on rental and reduced the amount she spent on food by 10%. She saved the remaining 20% of the sum given to her in May. By what percentage was the sum given to Jean reduced by?

	Rental	Food	Savings	Total
Before	50%	30%	20%	$8000
Change		- 3%	- ?	- ?
After	50%	27%
Comparing the amounts spent in May	80 u		20 u	100 u

Amount that Caden saved in percent
= 100% - 50% - 30%
= 20%

Amount that Caden reduced on food in percent
= 10% x 30%
= ¹⁰₁₀₀ x 30
= 3%

Total amount that Caden spent on rental and food in percent
= 50% + 27%
= 77%

100% → 8000

1% → 8000 ÷ 100 = 80

77% → 77 x  80 = 6160

The total amount that Caden spent on rental and food is repeated. 

80 u = 77% 

80 u = 6160

1 u = 6160 ÷ 80 = 77

Amount that Caden gave to Jean in May
= 100 u
= 100 x 77
= $7700

Amount that Jean received less from Caden from April to May
= 8000 - 7700
= $300

Percentage that the sum given to Jean was reduced by from April to May
= ³⁰⁰₈₀₀₀ x 100%
= 3.75%

Answer(s): 3.75%