In August, Ryan gave his wife, Yoko, $6000 for household expenditure. Yoko spent 50% of the sum on rental, 20% on food and saved the rest. In September, Ryan reduced the sum he gave to Yoko. Yoko 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 September. By what percentage was the sum given to Yoko reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$6000
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in September	80 u		20 u	100 u

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

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

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

100% → 6000

1% → 6000 ÷ 100 = 60

64% → 64 x  60 = 3840

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

80 u = 64% 

80 u = 3840

1 u = 3840 ÷ 80 = 48

Amount that Ryan gave to Yoko in September
= 100 u
= 100 x 48
= $4800

Amount that Yoko received less from Ryan from August to September
= 6000 - 4800
= $1200

Percentage that the sum given to Yoko was reduced by from August to September
= ¹²⁰⁰₆₀₀₀ x 100%
= 20%

Answer(s): 20%