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Sequence

X, Y and Z sh...

Question

X, Y and Z share in the ratio of $9 : 6 : 4$ . Y retires. X and Z decide to share the future profits in the same ratio in which Y and Z shared. The gaining ratio will be _______.

A

3 : 2

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B

2 : 3

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C

1 : 1

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D

None of these

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Solution

The correct option is B $2 : 3$
Old ratio (X, Y and Z) = 9 : 6 : 4
New ratio ( X and Z) = 6 : 4
Gaining ratio = New ratio - Old ratio
X's gaining ratio = (6/10) - (9/19) = 24/190
Zs gaining ratio = (4/10) - (4/19) = 36/190
Therefore, gaining ratio of X and Z = 24 : 36 or 2 : 3

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