Zara's and Barbara's savings were in the ratio of 4 : 9. Both of them shared the cost of their auntie's present equally. Zara's remaining savings was ¹₃ as much as Barbara's savings. What percentage of her savings did Barbara spend? Correct the answer to 1 decimal place.

	Zara	Barbara	Difference
Before	4x2 = 8 u	9x2 = 18 u	5x2 = 10 u
Change	- 3 u	- 3 u
After	1x5 = 5 u	3x5 = 15 u	2x5 = 10 u

Since Zara and Barbara shared the cost of their auntie's present equally, the amount each paid for the present is the same. 

So, the difference in the amounts between Zara and Barbara at first and in the end remains the same.  Make the difference in the amounts between Zara and Barbara at first and in the end the same. LCM of 5 and 2 is 10.

Amount that Barbara spent on the present
= 18 u - 15 u
= 3 u

Percentage of her savings that Barbara spent
= ³₁₈ x 100%
≈ 16.7%

Answer(s): 16.7%