In June, Owen gave his wife, Wendy, $5500 for household expenditure. Wendy spent 50% of the sum on rental, 20% on food and saved the rest. In July, Owen reduced the sum he gave to Wendy. Wendy 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 July. By what percentage was the sum given to Wendy reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$5500
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in July	80 u		20 u	100 u

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

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

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

100% → 5500

1% → 5500 ÷ 100 = 55

64% → 64 x  55 = 3520

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

80 u = 64% 

80 u = 3520

1 u = 3520 ÷ 80 = 44

Amount that Owen gave to Wendy in July
= 100 u
= 100 x 44
= $4400

Amount that Wendy received less from Owen from June to July
= 5500 - 4400
= $1100

Percentage that the sum given to Wendy was reduced by from June to July
= ¹¹⁰⁰₅₅₀₀ x 100%
= 20%

Answer(s): 20%