In November, Wesley gave his wife, Olivia, $6000 for household expenditure. Olivia spent 50% of the sum on rental, 20% on food and saved the rest. In December, Wesley reduced the sum he gave to Olivia. Olivia 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 Olivia reduced by?

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

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

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

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

80 u = 64% 

80 u = 3840

1 u = 3840 ÷ 80 = 48

Amount that Wesley gave to Olivia in December
= 100 u
= 100 x 48
= $4800

Amount that Olivia received less from Wesley from November to December
= 6000 - 4800
= $1200

Percentage that the sum given to Olivia was reduced by from November to December
= ¹²⁰⁰₆₀₀₀ x 100%
= 20%

Answer(s): 20%