A& B are partners sharing profits and losses in the ratio of 3:2. C is admitted for ¼ and for which₹30,000 and ₹10,000 are credited as a premium for goodwill to A and B respectively. The new profit-sharing ratio of A:B:C will be:a) 3:2:1b) 12:8:5c) 9:6:5d) 33:27:2012 Assertion: Batman, a partner in a firm with four partners has advanced a loan of ₹50,000 to the firm forlast six months of the financial year without any agreement. He claims an interest on loan of₹3,000 despite the firm being in loss for the year.Reasoning: In the absence of any agreement / provision in the partnership deed, provisions of IndianPartnership Act, 1932 would apply.a) Both A and R are correct, and R is the correct explanation of A.b) Both A and R are correct, but R is not the correct explanation of A.c) A is correct but R is incorrect.d) A is incorrect but R is correct.

The first question is about the new profit-sharing ratio of A, B, and C.

Step 1: Determine the total share before C is admitted. A and B share profits and losses in the ratio of 3:2, so the total share is 3+2 = 5.

Step 2: Determine C's share. C is admitted for 1/4 of the total share, so C's share is 1/4 * 5 = 1.25.

Step 3: Subtract C's share from the total to find the remaining share for A and B. The remaining share is 5 - 1.25 = 3.75.

Step 4: Divide the remaining share between A and B according to their original ratio. A's share is 3/5 * 3.75 = 2.25 and B's share is 2/5 * 3.75 = 1.5.

Step 5: The new profit-sharing ratio of A:B:C is 2.25:1.5:1.25. This is not in the simplest form, so we multiply each number by 4 to get the ratio in the simplest form. The new profit-sharing ratio of A:B:C is 9:6:5. So, the answer is (c) 9:6:5.

The second question is about whether Batman can claim an interest on his loan to the firm.

Assertion: Batman claims an interest on his loan of ₹3,000 despite the firm being in loss for the year.

Reasoning: In the absence of any agreement / provision in the partnership deed, provisions of Indian Partnership Act, 1932 would apply.

According to the Indian Partnership Act, 1932, a partner can claim interest on his loan to the firm at the rate of 6% per annum, even if the firm is in loss. Therefore, Batman can claim an interest on his loan of ₹3,000.

So, both the assertion and reasoning are correct, and the reasoning is the correct explanation of the assertion. The answer is (a) Both A and R are correct, and R is the correct explanation of A.