Question : A, B, and C subscribe a sum of Rs. 75,500 for a business. A subscribes Rs. 3,500 more than B, and B subscribes Rs. 4,500 more than C. Out of a total profit of Rs. 45,300, how much (in Rs.) does A receive?
Option 1: 17,400
Option 2: 14,700
Option 3: 12,600
Option 4: 15,000
Correct Answer: 17,400
Solution : Given, Total investment = Rs. 75,500 Profit = Rs. 45,300 We know, Profit is divided in the ratio of (investment × time) Let $x$ be the investment of C. ⇒ C = $x$ ...........(1) ⇒ B = $(x + 4500)$ ..........(2) And, A = $(x + 4500 + 3500)$ ...........(3) We know that, $x + (x + 4500) + (x + 4500 + 3500) = 75500$ ⇒ $x + (x + 4500) + (x + 8000) = 75500$ ⇒ $3x + 12500 = 75500$ ⇒ $3x = 63000$ ⇒ $x = 21000$ Put the value of x in equations 1, 2, and 3, we get, A = 29000 B = 25500 C = 21000 ⇒ Ratio of Profit = 29000: 25500: 21000 = 58 : 51 : 42 $\therefore$ A’s share = $\frac{58}{58 + 51 + 42} × 45300=17400$ Hence, the correct answer is 17,400.
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