In October, Andy gave his wife, Nicole, $8000 for household expenditure. Nicole spent 50% of the sum on rental, 30% on food and saved the rest. In November, Andy reduced the sum he gave to Nicole. Nicole spent the same amount on rental and reduced the amount she spent on food by 20%. She saved the remaining 20% of the sum given to her in November. By what percentage was the sum given to Nicole reduced by?

	Rental	Food	Savings	Total
Before	50%	30%	20%	$8000
Change		- 6%	- ?	- ?
After	50%	24%
Comparing the amounts spent in November	80 u		20 u	100 u

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

Amount that Andy reduced on food in percent
= 20% x 30%
= ²⁰₁₀₀ x 30
= 6%

Total amount that Andy spent on rental and food in percent
= 50% + 24%
= 74%

100% → 8000

1% → 8000 ÷ 100 = 80

74% → 74 x  80 = 5920

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

80 u = 74% 

80 u = 5920

1 u = 5920 ÷ 80 = 74

Amount that Andy gave to Nicole in November
= 100 u
= 100 x 74
= $7400

Amount that Nicole received less from Andy from October to November
= 8000 - 7400
= $600

Percentage that the sum given to Nicole was reduced by from October to November
= ⁶⁰⁰₈₀₀₀ x 100%
= 7.5%

Answer(s): 7.5%