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

	Natalie	Usha	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 Natalie and Usha shared the cost of their older brother's gift equally, the amount each paid for the gift is the same. 

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

Amount that Natalie spent on the gift
= 16 u - 5 u
= 11 u

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

Answer(s): 68.8%