In August, Archie gave his wife, Kimberly, $3000 for household expenditure. Kimberly spent 50% of the sum on rental, 20% on food and saved the rest. In September, Archie reduced the sum he gave to Kimberly. Kimberly 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 Kimberly reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$3000
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in September	80 u		20 u	100 u

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

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

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

100% → 3000

1% → 3000 ÷ 100 = 30

64% → 64 x  30 = 1920

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

80 u = 64% 

80 u = 1920

1 u = 1920 ÷ 80 = 24

Amount that Archie gave to Kimberly in September
= 100 u
= 100 x 24
= $2400

Amount that Kimberly received less from Archie from August to September
= 3000 - 2400
= $600

Percentage that the sum given to Kimberly was reduced by from August to September
= ⁶⁰⁰₃₀₀₀ x 100%
= 20%

Answer(s): 20%