In May, Will gave his wife, Usha, $5000 for household expenditure. Usha spent 50% of the sum on rental, 20% on food and saved the rest. In June, Will reduced the sum he gave to Usha. Usha 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 June. By what percentage was the sum given to Usha reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$5000
Change		- 6%	- ?	- ?
After	50%	14%
Comparing the amounts spent in June	80 u		20 u	100 u

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

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

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

100% → 5000

1% → 5000 ÷ 100 = 50

64% → 64 x  50 = 3200

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

80 u = 64% 

80 u = 3200

1 u = 3200 ÷ 80 = 40

Amount that Will gave to Usha in June
= 100 u
= 100 x 40
= $4000

Amount that Usha received less from Will from May to June
= 5000 - 4000
= $1000

Percentage that the sum given to Usha was reduced by from May to June
= ¹⁰⁰⁰₅₀₀₀ x 100%
= 20%

Answer(s): 20%