In July, Seth gave his wife, Winnie, $6500 for household expenditure. Winnie spent 50% of the sum on rental, 20% on food and saved the rest. In August, Seth reduced the sum he gave to Winnie. Winnie 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 August. By what percentage was the sum given to Winnie reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$6500
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in August	80 u		20 u	100 u

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

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

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

100% → 6500

1% → 6500 ÷ 100 = 65

64% → 64 x  65 = 4160

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

80 u = 64% 

80 u = 4160

1 u = 4160 ÷ 80 = 52

Amount that Seth gave to Winnie in August
= 100 u
= 100 x 52
= $5200

Amount that Winnie received less from Seth from July to August
= 6500 - 5200
= $1300

Percentage that the sum given to Winnie was reduced by from July to August
= ¹³⁰⁰₆₅₀₀ x 100%
= 20%

Answer(s): 20%