Multiple choice

C and D are partners sharing profit and loss equally. E joins for 1/4 share which he gets equally from C and D. The new ratio of the partners will be

  1. 1:1:4

  2. 3:3:2

  3. 3:2:1

  4. 1:2:3
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B Correct answer
Explanation

C and D share equally (1/2, 1/2). E gets 1/4 share, taken equally from C and D (1/8 each). New shares: C = 1/2 - 1/8 = 3/8; D = 1/2 - 1/8 = 3/8; E = 1/4 = 2/8. Ratio is 3:3:2.

AI explanation

Since C and D initially share profits equally, their ratio is 1 : 1, meaning out of a total of 2 shares, C has 1/2 and D has 1/2. When E joins for a 1/4 share, E acquires 1/8 from C and 1/8 from D, leaving C with 1/2 - 1/8 = 3/8 and D with 3/8. Combining C, D and E, their new shares form the ratio 3/8 : 3/8 : 1/4, which simplifies to 3 : 3 : 2.

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