Indian Institute of Foreign Trade 2012 Solved Paper

Question : 44 of 128

Marks: +1, -0

A sum of Rs.1400 is divided amongst A, B, C and D such that A’s share : B’s share = B’s share : C’s share = C’s share = D’s share = how much is C’s share?

Rs.72
Rs.288
Rs.216
Rs.384

Validate

Solution:

A:B=B:C=C:D=3:4

Let C be 3x and D be 4x

B:C=3:4

and

C=3x

So,

B={9x}/4

A:B=3:4

and

B={9x}/4

So,

A={27x}/16

Therefore,

A : B : C : D

{27x}/16:{9x}/4:3x:4x

Also,

A+B+C+D=Rs.1400

On solving, we get

x=128

Therefore, C's share

=3x=Rs.384

Hence, option D is the correct answer.

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