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A, B, C started a business with their investments in the ratio 4 : 3 : 2. After 4 months, A and B invested the same amount as before and after 6 months C withdrew half of its investment. The ratio of their profits at the end of the year is?


1. 40 : 9 : 3
2. 40 : 30 : 9
3. 20 : 3 : 9
4. 9 : 3 : 40
5. 40 : 6 : 9

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Correct Answer - Option 2 : 40 : 30 : 9

Given:

Initial investment ratio of A, B and C = 4 : 3 : 2.

After 4 months A and B invested same amount as initial.

After 6 months C withdrew half of its investment

Calculation:

Let initial investment of A, B and C is 4x, 3x and 2x respectively.

Then, A : B : C = (4x × 4 + 8x × 8) : (3x × 4 + 6x × 8) : (2x × 6 + x × 6)

A : B : C = 80x : 60x : 18x

∴ Ratio of profit of A, B and C at the end of the year = 40 : 30 : 9

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