In January, Carl gave his wife, Shannon, $7000 for household expenditure. Shannon spent 50% of the sum on rental, 20% on food and saved the rest. In February, Carl reduced the sum he gave to Shannon. Shannon 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 February. By what percentage was the sum given to Shannon reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$7000
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in February	80 u		20 u	100 u

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

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

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

100% → 7000

1% → 7000 ÷ 100 = 70

64% → 64 x  70 = 4480

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

80 u = 64% 

80 u = 4480

1 u = 4480 ÷ 80 = 56

Amount that Carl gave to Shannon in February
= 100 u
= 100 x 56
= $5600

Amount that Shannon received less from Carl from January to February
= 7000 - 5600
= $1400

Percentage that the sum given to Shannon was reduced by from January to February
= ¹⁴⁰⁰₇₀₀₀ x 100%
= 20%

Answer(s): 20%