[Solced] In a partnership business the monthly investment

Previously Asked in : Gate CE-afternoon season 2022 ||

22 : 23 : 24

63 : 86 : 110

22 : 33 : 50

33 : 46 : 60

Answer (Detailed Solution Below)

Option 63 : 86 : 110 is correct

Detailed Solution :

Let capitals invested by three friends for 6months are

$C_1\, = \,3x \, ; C_2\, = \,4x \, ; \, C_3 \, = \, 5x \\ P_1 : \, P_2 : \, P_3 \, = I_1 : I_2 : I_3$

( notation : C- cost , P – profit and I-Investment )

$\therefore P_1 : P_2 : P_3 = \\\ : \,\left (3x \times 6 \, 1.1 \times 3x \times 6 \right) \\\ : \, \left (4x \times 6 \, + \, 1.15 \times 4x \times 6\right) \\\ : \, \left (5x \times 6 \, + \, 1.2 \times 5x \times 6 \right)$

$= 6.3 \, : \, 8.6 \, : \, 11 \\\ = 63 : 86 : 110$

Correct option is: 63 : 86 : 110

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