In May, Andy gave his wife, Kathy, $8000 for household expenditure. Kathy spent 60% of the sum on rental, 20% on food and saved the rest. In June, Andy reduced the sum he gave to Kathy. Kathy 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 Kathy reduced by?

	Rental	Food	Savings	Total
Before	60%	20%	20%	$8000
Change		- 6%	- ?	- ?
After	60%	14%
Comparing the amounts spent in June	80 u		20 u	100 u

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

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

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

100% → 8000

1% → 8000 ÷ 100 = 80

74% → 74 x  80 = 5920

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

80 u = 74% 

80 u = 5920

1 u = 5920 ÷ 80 = 74

Amount that Andy gave to Kathy in June
= 100 u
= 100 x 74
= $7400

Amount that Kathy received less from Andy from May to June
= 8000 - 7400
= $600

Percentage that the sum given to Kathy was reduced by from May to June
= ⁶⁰⁰₈₀₀₀ x 100%
= 7.5%

Answer(s): 7.5%