In January, Justin gave his wife, Eva, $9500 for household expenditure. Eva spent 50% of the sum on rental, 20% on food and saved the rest. In February, Justin reduced the sum he gave to Eva. Eva 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 February. By what percentage was the sum given to Eva reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$9500
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in February	80 u		20 u	100 u

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

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

Total amount that Justin spent on rental and food in percent
= 50% + 14%
= 64%

100% → 9500

1% → 9500 ÷ 100 = 95

64% → 64 x  95 = 6080

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

80 u = 64% 

80 u = 6080

1 u = 6080 ÷ 80 = 76

Amount that Justin gave to Eva in February
= 100 u
= 100 x 76
= $7600

Amount that Eva received less from Justin from January to February
= 9500 - 7600
= $1900

Percentage that the sum given to Eva was reduced by from January to February
= ¹⁹⁰⁰₉₅₀₀ x 100%
= 20%

Answer(s): 20%