In January, Ian gave his wife, Fanny, $5000 for household expenditure. Fanny spent 50% of the sum on rental, 10% on food and saved the rest. In February, Ian reduced the sum he gave to Fanny. Fanny spent the same amount on rental and reduced the amount she spent on food by 30%. She saved the remaining 25% of the sum given to her in February. By what percentage was the sum given to Fanny reduced by?

	Rental	Food	Savings	Total
Before	50%	10%	40%	$5000
Change		- 3%	- ?	- ?
After	50%	7%
Comparing the amounts spent in February	75 u		25 u	100 u

Amount that Ian saved in percent
= 100% - 50% - 10%
= 40%

Amount that Ian reduced on food in percent
= 30% x 10%
= ³⁰₁₀₀ x 10
= 3%

Total amount that Ian spent on rental and food in percent
= 50% + 7%
= 57%

100% → 5000

1% → 5000 ÷ 100 = 50

57% → 57 x  50 = 2850

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

75 u = 57% 

75 u = 2850

1 u = 2850 ÷ 75 = 38

Amount that Ian gave to Fanny in February
= 100 u
= 100 x 38
= $3800

Amount that Fanny received less from Ian from January to February
= 5000 - 3800
= $1200

Percentage that the sum given to Fanny was reduced by from January to February
= ¹²⁰⁰₅₀₀₀ x 100%
= 24%

Answer(s): 24%