In November, Ian gave his wife, Cindy, $5000 for household expenditure. Cindy spent 50% of the sum on rental, 20% on food and saved the rest. In December, Ian reduced the sum he gave to Cindy. Cindy 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 December. By what percentage was the sum given to Cindy reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$5000
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in December	80 u		20 u	100 u

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

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

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

100% → 5000

1% → 5000 ÷ 100 = 50

64% → 64 x  50 = 3200

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

80 u = 64% 

80 u = 3200

1 u = 3200 ÷ 80 = 40

Amount that Ian gave to Cindy in December
= 100 u
= 100 x 40
= $4000

Amount that Cindy received less from Ian from November to December
= 5000 - 4000
= $1000

Percentage that the sum given to Cindy was reduced by from November to December
= ¹⁰⁰⁰₅₀₀₀ x 100%
= 20%

Answer(s): 20%