In September, Valen gave his wife, Hazel, $8000 for household expenditure. Hazel spent 70% of the sum on rental, 10% on food and saved the rest. In October, Valen reduced the sum he gave to Hazel. Hazel 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 October. By what percentage was the sum given to Hazel reduced by?

	Rental	Food	Savings	Total
Before	70%	10%	20%	$8000
Change		- 3%	- ?	- ?
After	70%	7%
Comparing the amounts spent in October	80 u		20 u	100 u

Amount that Valen saved in percent
= 100% - 70% - 10%
= 20%

Amount that Valen reduced on food in percent
= 30% x 10%
= ³⁰₁₀₀ x 10
= 3%

Total amount that Valen spent on rental and food in percent
= 70% + 7%
= 77%

100% → 8000

1% → 8000 ÷ 100 = 80

77% → 77 x  80 = 6160

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

80 u = 77% 

80 u = 6160

1 u = 6160 ÷ 80 = 77

Amount that Valen gave to Hazel in October
= 100 u
= 100 x 77
= $7700

Amount that Hazel received less from Valen from September to October
= 8000 - 7700
= $300

Percentage that the sum given to Hazel was reduced by from September to October
= ³⁰⁰₈₀₀₀ x 100%
= 3.75%

Answer(s): 3.75%