Usha made muffins for sale. 40% of the muffins were lotus paste muffins and the rest were chicken and curry muffins in the ratio 2 : 1. If a customer bought 75% of the lotus paste muffins and all of the curry muffins, what percentage of the chicken muffins must Usha 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 |
Chicken muffins |
Curry muffins |
2 u |
3 u |
|
2 u |
1 u |
|
Lotus paste muffins |
Chicken muffins |
Curry muffins |
Total muffins |
Before |
2 u |
2 u |
1 u |
5 u |
Change |
- 1.5 u |
- 1.25 u |
- 1 u |
|
After |
0.5 u |
0.75 u |
0 |
1.25 u |
40% =
40100 =
2575% =
75100 =
34 Total number of muffins = 5 u
Number of chicken and curry muffins
= 5 u - 2 u
= 3 u
Number of chicken muffins at first
=
23 x 3 u
= 2 u
Number of curry muffins at first
= 3 u - 2 u
= 1 u
Number of lotus paste muffins sold
= 75% x 2 u
=
75100 x 2 u
=
34 x 2 u
= 1.5 u
Number of curry muffins sold
=
13 x 3 u
= 1 u
Number of lotus paste muffins left
= 2 u - 1.5 u
= 0.5 u
To maintain the percentage of the lotus paste muffins in the end,
40% → 0.5 u
100% →
0.540 x 100 = 1.25 u
Total number of muffins in the end to maintain the original percentage of lotus paste muffins = 1.25 u
Number of chicken muffins left
= 1.25 u - 0.5 u
= 0.75 u
Number of chicken muffins that Usha must sell to maintain the original percentage of lotus paste muffins
= 2 u - 0.75 u
= 1.25 u
Percentage of the chicken muffins that Usha must sell
=
1.252 x 100%
= 62.5%
Answer(s): 62.5%