Min made muffins for sale. 50% of the muffins were curry muffins and the rest were mushroom and beef muffins in the ratio 3 : 2. If a customer bought 65% of the curry muffins and all of the beef muffins, what percentage of the mushroom muffins must Min sell for her to maintain the original percentage of curry muffins at first? Leave your answer in decimals and correct to 1 decimal place.

Curry muffins	Mushroom muffins	Beef muffins
1 u	1 u
	0.6 u	0.4 u

	Curry muffins	Mushroom muffins	Beef muffins	Total muffins
Before	1 u	0.6 u	0.4 u	2 u
Change	- 0.65 u	- 0.25 u	- 0.4 u
After	0.35 u	0.35 u	0	0.7 u

50% = ⁵⁰₁₀₀ = ¹₂
65% = ⁶⁵₁₀₀ = ¹³₂₀

Total number of muffins = 2 u

Number of mushroom and beef muffins
= 2 u - 1 u
= 1 u

Number of mushroom muffins at first
= ³₅ x 1 u
= 0.6 u

Number of beef muffins at first
= 1 u - 0.6 u
= 0.4 u

Number of curry muffins sold
= 65% x 1 u
= ⁶⁵₁₀₀ x 1 u
= ¹³₂₀ x 1 u
= 0.65 u

Number of beef muffins sold
= ²₅ x 1 u
= 0.4 u

Number of curry muffins left 
= 1 u - 0.65 u
= 0.35 u

To maintain the percentage of the curry muffins in the end, 
50% → 0.35 u
100% → ^0.35₅₀ x 100 = 0.7 u

Total number of muffins in the end to maintain the original percentage of curry muffins = 0.7 u

Number of mushroom muffins left
= 0.7 u - 0.35 u
= 0.35 u

Number of mushroom muffins that Min must sell to maintain the original percentage of curry muffins
= 0.6 u - 0.35 u
= 0.25 u

Percentage of the mushroom muffins that Min must sell
= ^0.25_0.6 x 100%
= 41.7%

Answer(s): 41.7%