A, B and C invested money in a business such that 2 times A's share, 4 times B's share and 6 times C's share are all equal. If they earned ₹44,000, find the share of A.

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Let A's share be A, B's share be B, and C's share be C.

Given: 2 × A = 4 × B = 6 × C = k (some constant)

From 2A = k, we get A = k/2
From 4B = k, we get B = k/4
From 6C = k, we get C = k/6

Total share = A + B + C = k/2 + k/4 + k/6
Find the common denominator (12):
= (6k/12) + (3k/12) + (2k/12) = 11k/12

Total profit = ₹44,000
So, 11k/12 = 44,000
=> k = (44,000 × 12) / 11 = 44,000 × (12/11) = 44,000 × 1.0909 = 48,000

Now, A's share = k/2 = 48,000 / 2 = ₹24,000

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