A B C profit ratio is three to three to two. C is guaranteed forty thousand rupees and total profit is one lakh twenty thousand. A and B bear deficiency equally. What is correct final profit?

Correct answer: A forty thousand B forty thousand C forty thousand

The direct answer is option A: A ₹40,000, B ₹40,000, and C ₹40,000. First divide the total profit of ₹120,000 in the ratio 3:3:2. Total parts = 3 + 3 + 2 = 8, so one part = ₹120,000 ÷ 8 = ₹15,000. The original shares are A = 3 × ₹15,000 = ₹45,000, B = ₹45,000, and C = 2 × ₹15,000 = ₹30,000. C is guaranteed ₹40,000, so C has a deficiency of ₹40,000 − ₹30,000 = ₹10,000. A and B bear this deficiency equally, so each bears ₹5,000. Adjusted shares are A ₹45,000 − ₹5,000 = ₹40,000; B ₹45,000 − ₹5,000 = ₹40,000; C ₹30,000 + ₹10,000 = ₹40,000. Option A is therefore correct. Option B gives C only ₹30,000, ignoring the guarantee. Option C gives A and B unequal deficiency burdens even though the question says equally. Option D similarly gives an unequal burden. Check: ₹40,000 + ₹40,000 + ₹40,000 = ₹120,000.