In February, Liam gave his wife, Anna, $7500 for household expenditure. Anna spent 50% of the sum on rental, 20% on food and saved the rest. In March, Liam reduced the sum he gave to Anna. Anna spent the same amount on rental and reduced the amount she spent on food by 20%. She saved the remaining 25% of the sum given to her in March. By what percentage was the sum given to Anna reduced by?

	Rental	Food	Savings	Total
Before	50%	20%	30%	$7500
Change		- 4%	- ?	- ?
After	50%	16%
Comparing the amounts spent in March	75 u		25 u	100 u

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

Amount that Liam reduced on food in percent
= 20% x 20%
= ²⁰₁₀₀ x 20
= 4%

Total amount that Liam spent on rental and food in percent
= 50% + 16%
= 66%

100% → 7500

1% → 7500 ÷ 100 = 75

66% → 66 x  75 = 4950

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

75 u = 66% 

75 u = 4950

1 u = 4950 ÷ 75 = 66

Amount that Liam gave to Anna in March
= 100 u
= 100 x 66
= $6600

Amount that Anna received less from Liam from February to March
= 7500 - 6600
= $900

Percentage that the sum given to Anna was reduced by from February to March
= ⁹⁰⁰₇₅₀₀ x 100%
= 12%

Answer(s): 12%