Fiona's and Hilda's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's gift equally. Fiona's remaining savings was ²₅ as much as Hilda's savings. What percentage of her savings did Hilda spend? Correct the answer to 1 decimal place.

	Fiona	Hilda	Difference
Before	4x3 = 12 u	9x3 = 27 u	5x3 = 15 u
Change	- 2 u	- 2 u
After	2x5 = 10 u	5x5 = 25 u	3x5 = 15 u

Since Fiona and Hilda shared the cost of their older sister's gift equally, the amount each paid for the gift is the same. 

So, the difference in the amounts between Fiona and Hilda at first and in the end remains the same.  Make the difference in the amounts between Fiona and Hilda at first and in the end the same. LCM of 5 and 3 is 15.

Amount that Hilda spent on the gift
= 27 u - 25 u
= 2 u

Percentage of her savings that Hilda spent
= ²₂₇ x 100%
≈ 7.4%

Answer(s): 7.4%