Question : A, B, and C invest to start a restaurant. The total investment is 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.)?
Option 1: 3600
Option 2: 4800
Option 3: 6000
Option 4: 7200
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Correct Answer: 4800
Solution :
Let a be the investment of A.
Investment of B = a + 50000
Investment of C = (a + 50000) – 25000
Total investment = a + (a + 50000) + [(a + 50000) – 25000]
⇒ 300000 = 3a + 75000
⇒ Investment of A = $\frac{300000-75000}{3}$ = $\frac{225000}{3}$ = Rs. 75000
⇒ Investment of B = 75000 + 50000 = Rs. 125000
⇒ Investment of C = 125000 – 25000 = Rs. 100000
Ratio of investment = 75000 : 125000 : 100000 = 3 : 5 : 4
⇒ Ratio of profit = 3 : 5 : 4
Since total profit = Rs.14400,
So, the profit received by C = $\frac{4}{3+5+4}$ × 14400
= $\frac{4}{12}$ × 14400
= Rs. 4800
Hence, the correct answer is 4800.
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