A, B, and C subscribe to a sum of Rs75,500 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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 17,400.
We know that,
Person's Profit = Investment × time
Now,
Let x be the investment of C
⇒C = x
B subscribes Rs 4, 500 more than C
⇒B = (x + 4500)
A subscribes Rs.3,500 more than B
⇒A = (x + 4500 + 3500)
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
We get,
⇒A = x + 4500 + 3500 = 21000 + 4500 + 3500 = 29000
⇒B = x + 4500 = 21000 + 4500 = 25500 and,
⇒C = x = 21000
⇒Ratio of profit = A : B : C = 29000 : 25500 : 21000 = 58 : 51 : 42
Thus,
A's share = 58/(58 + 51 + 42) × 45300
⇒ 58/151 × 45300 = Rs.17400