Question

a b and cpartner in a firm sharing profit and losses in the ratio of 1/2:1/3:1/6 d was admitted in the firm from 1/6 shaee​

Answer 1

Correct Question :

A, B and C are partners in a firm sharing profit and losses in the ratio of 1/2:1/3:1/6. D was admitted in the firm for 1/6 th Share. Find New Profit Sharing Ratio

Answer :

Given :

• Old Share of Partners = ½ , ⅓ , ⅙

• D is admitted For ⅙ th share.

To Find :

New Ratio

Solution :

$\sf\to \: Old \: Share \: = \frac{1}{2} : \frac{1}{3} : \frac{1}{6}$

Here, the share of partners are not in the form of direct ratio. They are in Proportion. To make in ratio we have to make the denomintor same of these fractions.

$\sf \to \: \frac{1}{2} : \frac{1}{3} :\frac{1}{6}$

$\sf\to \: \frac{1 \times 3}{2 \times 3} : \frac{1 \times 2}{3 \times 2} : \frac{1}{6}$

$\sf \to \: \frac{3}{6} : \frac{2}{6} : \frac{1}{6}$

$\sf \to Old \: Ratio \: of \: Partners \: = 3 : 2:1 \:$

$\sf \to Share \: of \: d \: = \frac{1}{6}$

$\sf \to \: Remaining \: Portion \: =1 - \frac{1}{6}$

$\sf\to \: \frac{5}{6}$

New Share of A :

$\to \sf \frac{3}{6} \times \frac{5}{6}$

$\sf \to \: \frac{15}{36}$

New Share of B :

$\sf \to \: \frac{2}{6} \times \frac{5}{6}$

$\sf\to \: \frac{10}{36}$

New Share of C :

$\sf \to \: \frac{1}{6} \times \frac{5}{6}$

$\sf\to \: \frac{5}{36}$

New Share Of D :

$\sf \to \frac{1}{6}$

$\sf\to \: \frac{1}{6} = \frac{1 \times 6}{6 \times 6} = \frac{6}{36}$

$\sf\to \: \frac{6}{36}$

$\bullet \: \sf \frac{15}{30} , \frac{10}{30} , \frac{5}{30} ,\frac{6}{30}$

$\bullet \: \sf 15 : 10 : 5: 6$

$\therefore \sf New \: Profit \: ratio \: = 15 : 10 : 5 : 6$