Diana's and Xandra's savings were in the ratio of 4 : 9. Both of them shared the cost of their uncle's present equally. Diana's remaining savings was ¹₅ as much as Xandra's savings. What percentage of her savings did Diana spend? Correct the answer to 1 decimal place.

	Diana	Xandra	Difference
Before	4x4 = 16 u	9x4 = 36 u	5x4 = 20 u
Change	- 11 u	- 11 u
After	1x5 = 5 u	5x5 = 25 u	4x5 = 20 u

Since Diana and Xandra shared the cost of their uncle's present equally, the amount each paid for the present is the same. 

So, the difference in the amounts between Diana and Xandra at first and in the end remains the same.  Make the difference in the amounts between Diana and Xandra at first and in the end the same. LCM of 5 and 4 is 20.

Amount that Diana spent on the present
= 16 u - 5 u
= 11 u

Percentage of her savings that Diana spent
= ¹¹₁₆ x 100%
≈ 68.8%

Answer(s): 68.8%