In May, Valen gave his wife, Nicole, $4000 for household expenditure. Nicole spent 60% of the sum on rental, 20% on food and saved the rest. In June, Valen reduced the sum he gave to Nicole. Nicole 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 June. By what percentage was the sum given to Nicole reduced by?

	Rental	Food	Savings	Total
Before	60%	20%	20%	$4000
Change		- 6%	- ?	- ?
After	60%	14%
Comparing the amounts spent in June	80 u		20 u	100 u

Amount that Valen saved in percent
= 100% - 60% - 20%
= 20%

Amount that Valen reduced on food in percent
= 30% x 20%
= ³⁰₁₀₀ x 20
= 6%

Total amount that Valen spent on rental and food in percent
= 60% + 14%
= 74%

100% → 4000

1% → 4000 ÷ 100 = 40

74% → 74 x  40 = 2960

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

80 u = 74% 

80 u = 2960

1 u = 2960 ÷ 80 = 37

Amount that Valen gave to Nicole in June
= 100 u
= 100 x 37
= $3700

Amount that Nicole received less from Valen from May to June
= 4000 - 3700
= $300

Percentage that the sum given to Nicole was reduced by from May to June
= ³⁰⁰₄₀₀₀ x 100%
= 7.5%

Answer(s): 7.5%