In August, Eric gave his wife, Fiona, $6000 for household expenditure. Fiona spent 50% of the sum on rental, 20% on food and saved the rest. In September, Eric reduced the sum he gave to Fiona. Fiona 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 Fiona 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 Eric saved in percent
= 100% - 50% - 20%
= 30%

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

Total amount that Eric 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 Eric spent on rental and food is repeated. 

80 u = 64% 

80 u = 3840

1 u = 3840 ÷ 80 = 48

Amount that Eric gave to Fiona in September
= 100 u
= 100 x 48
= $4800

Amount that Fiona received less from Eric from August to September
= 6000 - 4800
= $1200

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

Answer(s): 20%