A,B, C subscribe a sum of ₹75,500 for a business. A subscribes ₹3,500 more than B, and B subscribes ₹4,500 more than C. Out of a total profit of ₹45,300, how much(in ₹) does A receive?
Answer & explanation
Correct answer: option 1
Profit = Investment × Time period
Let x be the investment of C
C = x ----(1)
B = (x + 4500) ----(2)
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 equation 1, 2, and 3.
Income of C = 21000
A = 29000
B = 25500
Ratio of Investment is same as Profit ratio .
A : B : C
21000 : 29000 : 25500
42 : 58 : 51
According to question ,
( 42 + 58 + 51)R = 45300
151R = 45300
1R = 300
Income of A = 42 × 300 = 12600