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Directions(Q.31 to Q.40 ):

A and B are partners in a business. They invest in the ratio 5 : 6, at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, find how long B’s investment was used?

a

12 months

b

10 months

c

15 months

d

14 months

e

18 months

Answer : Option A

Explanation :

5x : 6x, Let B investment was used for y months

8×5x : 6x × y = 5 : 9

$frac{{40x}}{{6xy}} = frac{5}{9} Rightarrow y = 12$