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

	Tina	Fanny	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 Tina and Fanny shared the cost of their younger brother's gift equally, the amount each paid for the gift is the same. 

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

Amount that Tina spent on the gift
= 12 u - 10 u
= 2 u

Percentage of her savings that Tina spent
= ²₁₂ x 100%
≈ 16.7%

Answer(s): 16.7%