X and Y are partners in a firm who share profits and losses in 2 : 1. their capital balance are Rs. 50,000 and Rs. 30,000 respectively. If Z with consent of Y takes half of the share of X for Rs. 30,000 then Z’s capital account will be credited by what amount.

The correct answer is: C. Rs. 15,000

X and Y share profits and losses in the ratio of 2:1. This means that X is entitled to 2/3 of the profits and Y is entitled to 1/3 of the profits.

X’s capital balance is Rs. 50,000. This means that X is entitled to 2/3 * Rs. 50,000 = Rs. 33,333 of the total capital of the firm.

Y’s capital balance is Rs. 30,000. This means that Y is entitled to 1/3 * Rs. 50,000 = Rs. 16,667 of the total capital of the firm.

If Z takes half of X’s share for Rs. 30,000, then Z will be entitled to 1/2 * Rs. 33,333 = Rs. 16,667 of the total capital of the firm.

Therefore, Z’s capital account will be credited by Rs. 16,667.

Here is a brief explanation of each option:

• Option A: Rs. 25,000. This is the total amount that Z would be entitled to if X and Y shared profits and losses equally. However, X and Y do not share profits and losses equally, so this is not the correct answer.
• Option B: Rs. 5,000. This is the amount that Z would be entitled to if X and Y shared profits and losses in the ratio of 3:1. However, X and Y do not share profits and losses in this ratio, so this is not the correct answer.
• Option C: Rs. 15,000. This is the correct answer, as explained above.
• Option D: Rs. 20,000. This is the total amount that Z would be entitled to if X and Y shared profits and losses in the ratio of 2:1 and Z took half of Y’s share. However, Z is taking half of X’s share, not Y’s share, so this is not the correct answer.