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Naveen and Ghanshyam are partners in a firm sharing profits in the ratio of 3:2. They admitted Daniel as a new partner for 1/4 share. The new profit sharing ratio between Naveen and Ghanshyam will be 2:1. Calculate the New profit sharing ratio of Naveen, Ghanshyam and Daniel :

Solution

✅ Correct Option: 2

Daniel is admitted for 1/4 share of profits.

Remaining share available for Naveen and Ghanshyam = 1−14=341 - \frac{1}{4} = \frac{3}{4}

This remaining share of 34\frac{3}{4} is to be divided between Naveen and Ghanshyam in the ratio 2:1.

Naveen's share = 34×23=24=12\frac{3}{4} \times \frac{2}{3} = \frac{2}{4} = \frac{1}{2}

Ghanshyam's share = 34×13=14\frac{3}{4} \times \frac{1}{3} = \frac{1}{4}

Daniel's share = 14\frac{1}{4}


New Profit Sharing Ratio:

Naveen : Ghanshyam : Daniel = 12:14:14\frac{1}{2} : \frac{1}{4} : \frac{1}{4}

Multiplying by 4 to remove fractions:

= 2 : 1 : 1

Verification: 24+14+14=44=1\frac{2}{4} + \frac{1}{4} + \frac{1}{4} = \frac{4}{4} = 1 ✓

The correct answer is Option 2: 2:1:1

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