Olivia made muffins for sale. 45% of the muffins were lotus paste muffins and the rest were kaya and beef muffins in the ratio 3 : 2. If a customer bought 65% of the lotus paste muffins and all of the beef muffins, what percentage of the kaya muffins must Olivia sell for her to maintain the original percentage of lotus paste muffins at first? Leave your answer in decimals and correct to 1 decimal place.

Lotus paste muffins	Kaya muffins	Beef muffins
9 u	11 u
	6.6 u	4.4 u

	Lotus paste muffins	Kaya muffins	Beef muffins	Total muffins
Before	9 u	6.6 u	4.4 u	20 u
Change	- 5.85 u	- 2.75 u	- 4.4 u
After	3.15 u	3.85 u	0	7 u

45% = ⁴⁵₁₀₀ = ⁹₂₀
65% = ⁶⁵₁₀₀ = ¹³₂₀

Total number of muffins = 20 u

Number of kaya and beef muffins
= 20 u - 9 u
= 11 u

Number of kaya muffins at first
= ³₅ x 11 u
= 6.6 u

Number of beef muffins at first
= 11 u - 6.6 u
= 4.4 u

Number of lotus paste muffins sold
= 65% x 9 u
= ⁶⁵₁₀₀ x 9 u
= ¹³₂₀ x 9 u
= 5.85 u

Number of beef muffins sold
= ²₅ x 11 u
= 4.4 u

Number of lotus paste muffins left 
= 9 u - 5.85 u
= 3.15 u

To maintain the percentage of the lotus paste muffins in the end, 
45% → 3.15 u
100% → ^3.15₄₅ x 100 = 7 u

Total number of muffins in the end to maintain the original percentage of lotus paste muffins = 7 u

Number of kaya muffins left
= 7 u - 3.15 u
= 3.85 u

Number of kaya muffins that Olivia must sell to maintain the original percentage of lotus paste muffins
= 6.6 u - 3.85 u
= 2.75 u

Percentage of the kaya muffins that Olivia must sell
= ^2.75_6.6 x 100%
= 41.7%

Answer(s): 41.7%