The old ratio is (1:2:2). A new partner takes (1/5) share and the first two old partners sacrifice equally. The third does not sacrifice. What is the new ratio?

Correct answer: (1:3:4:2)

The correct answer is option A: (1:3:4:2). The old ratio 1:2:2 means the original shares are 1/5, 2/5 and 2/5. The new partner receives 1/5, and the first two old partners sacrifice equally. Their total sacrifice must be 1/5, so each sacrifices 1/10. The first partner keeps 1/5 − 1/10 = 1/10. The second keeps 2/5 − 1/10 = 3/10. The third sacrifices nothing and keeps 2/5. The new partner gets 1/5. Taking denominator 10 gives 1:3:4:2. Option A exactly matches. Option B gives the first partner 2/12, not 1/10, and its total is not based on the calculation. Option C leaves the second partner unchanged, although that partner must sacrifice 1/10. Option D makes the first partner’s share too large and does not show equal sacrifice by the first two. Exam cue: distribute the incoming partner’s share among sacrificing partners according to the stated sacrifice condition.