A, B and C invest to start a restaurant. The total investment was Rs. 3 lakhs. B invested Rs. 50,000 more than A and C invested Rs. 25,000 less than B. If the profit at the end of the year was Rs. 14,400 then what is C's share of the profit (in Rs)?
4800
Step 1 — Set up investments: Let A = x. Then B = x + 50000 and C = B − 25000 = x + 25000.
\[x + (x+50000) + (x+25000) = 300000 \implies 3x = 225000 \implies x = 75000\]
So A : B : C = 75000 : 125000 : 100000 = 3 : 5 : 4.
Step 2 — C's share:
\[\text{C's share} = \frac{4}{12}\times 14400 = \mathbf{Rs.\ 4800}\]
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