A B C and D share 2:3:2:3. D retires and no information is given. What will be the new ratio?

Correct answer: 2:3:2

The correct answer is Option A, 2:3:2. The old ratio A:B:C:D is 2:3:2:3. D retires, so D's share is removed. No information is given about any change in the relative claims of A, B and C. Therefore the remaining partners continue in their old mutual ratio, namely A:B:C = 2:3:2. Option A is correct. Option B, 2:3:3, increases C's share without any stated reason. Option C, 1:1:1, makes all three remaining partners equal, but the question gives no such agreement. Option D, 3:2:3, changes the positions of A and B and is not supported. It is not necessary to divide the remaining total 7 parts into a new numerical base; a ratio may be simplified only if all terms have a common factor, and 2:3:2 cannot be simplified. The safest rule is to remove the retiring partner's term and preserve the other terms in order. Memory cue: no information means no change in the continuing partners' mutual ratio.