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Bank Limited Written Math Solution:

Math Part Answer:

1. 720 and 1280

2. 7.2

3. 131.25 and 168.75

4. 11:8

5. 62.5%

1. A, B, C are partners in a business. A, whose money has been used for 4 month’s, claims 1/8 of the profit. B, whose money has been used for 6 month’s claims 1/3 of the profit. C had invested tk 1560 for 8 months. How much money did A and B contribute?

Solution :

Let total profit x tk.
Then, A’s share =x/8;B’s share =x/3
C’s share =x-(x/8+x/3)=13x/24
Ratio =x/8:x/3:13x/24=3:8:13
Again let A invested p for 4 month’s and B invested q for 6 months. So their investment ratio 4p :6q :1560*8=3:8:13
Therefore p=720 & q=1280.

Ans: 720 and 1280

5. In a certain class, 1/5 of the boys are shorter than the shortest girl in the class, and 1/3 of the girls are taller than the tallest boy in the class. If there are 16 students in the class and no two people have the same height, what percent of the students are taller than the shortest girl and shorter than the tallest boy?

Solution:

Since total boys and girls = 16
Boys must multiple of 5 and girls must multiple of 3 so
Total boys = 10
Shorter boys = 10*1/5 = 2
Total girls = 6
Taller girls = 6*1/3 = 2
ATQ,
Shortest girl = 1 and Tallest boy = 1
Shorter boys = 2 and Taller girls = 2
So
Taller than shortest girls and shorter than tallest boy =(16-2-2-1-1)=10
10*100/16 = 62.5%

Ans: 62.5%

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