Question

Veena and Varma are partners sharing profits and losses in the ratio 2:3. They admit Malu for 2/5 share which she acquired equally from Veena and Varma. Calculate the new ratio and sacrificing ratio.
a)1:2:2 and 1:1.
b)1:1 and 2:3.
c)3:2 and 1:1.
d)None of these.​

Answer 1

Given data:

• Veena and Varma are partners sharing profits and losses in the ratio 2:3.
• Malu is admitted for 2/5th of the shares, which is acquired from Veena and Varma equally.

To find: The new and sacrificing ratio.

Answer:

Veena's share = 2/5

Varma's share = 3/5

Since Malu gets her share equally from Veena and Varma, half [∵ there are 2 partners] of Malu's share, i.e., 1/2 × 2/5 = 2/10, needs to be deducted from the old partners' shares.

From Veena, Malu gets:

• 2/5 - 2/10 = (4 - 2)/10 = 2/10

From Varma, Malu gets:

• 3/5 - 2/10 = (6 - 2)/10 = 4/10

Malu' share:

• As mentioned above, 2/5. To equalize it with the other ratios, 2/5 × 2/2 = 4/10.

Therefore, the new ratio is 2:4:4 = 1:2:2.

The sacrificing ratio [profit surrendered/deducted earlier] is 2:2 = 1:1.

Therefore, the answer is a) 1:2:2 and 1:1.