In March, Jeremy gave his wife, Opal, $8000 for household expenditure. Opal spent 60% of the sum on rental, 20% on food and saved the rest. In April, Jeremy reduced the sum he gave to Opal. Opal 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 April. By what percentage was the sum given to Opal reduced by?

	Rental	Food	Savings	Total
Before	60%	20%	20%	$8000
Change		- 6%	- ?	- ?
After	60%	14%
Comparing the amounts spent in April	80 u		20 u	100 u

Amount that Jeremy saved in percent
= 100% - 60% - 20%
= 20%

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

Total amount that Jeremy spent on rental and food in percent
= 60% + 14%
= 74%

100% → 8000

1% → 8000 ÷ 100 = 80

74% → 74 x  80 = 5920

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

80 u = 74% 

80 u = 5920

1 u = 5920 ÷ 80 = 74

Amount that Jeremy gave to Opal in April
= 100 u
= 100 x 74
= $7400

Amount that Opal received less from Jeremy from March to April
= 8000 - 7400
= $600

Percentage that the sum given to Opal was reduced by from March to April
= ⁶⁰⁰₈₀₀₀ x 100%
= 7.5%

Answer(s): 7.5%