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Old partners share in (3:2) and the new ratio is (2:2:1). What is the new partner's share?

Answer and explanation

Correct answer: (1/5)

The direct answer is A, 1/5. The new ratio is 2:2:1, so its total is 2 + 2 + 1 = 5. The third number belongs to the new partner; therefore the new partner’s share is 1/5. Option A is correct. Option B, 2/5, would be the share of either partner whose new ratio number is 2, not the incoming partner. Option C, 1/3, would require a total of three equal parts and does not follow from 2:2:1. Option D, 3/5, is not present in the new ratio and would be too large. The old ratio 3:2 is not needed to find the new partner’s share; it may be useful for other calculations, such as sacrifice, but not for this direct question. Memory cue: in a ratio, a partner’s fraction is his number divided by the total of all numbers.

Related tags

New RatioNew Partner ShareGoodwill Base

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