In a business, \( A \) and \( C \) invested amounts in the ratio \( 2: 1 \) , whereas the ratio between amounts invested by \( A \) and B was \( 3: 2 \) . IfRs. \( 1,57,300 \) was their profit, how much amount did \( B \) receive?
Step-by-step Solution:
We are given two separate ratios, A:C = 2:1 and A:B = 3:2. To find B's share, we first need to combine them into a single ratio of A:B:C. We do this by finding a common value for the shared term, A.
A:C = (2*3):(1*3) = 6:3A:B = (3*2):(2*2) = 6:4Now we can write the full combined ratio: A:B:C = 6:4:3.
We sum the parts of the combined ratio to find the total number of profit shares.
6 + 4 + 3 = 13 parts B's share of the profit is proportional to their ratio part (4) out of the total parts (13). The total profit is ₹1,57,300.
B's Amount = (4 / 13) * 1,57,300 B's Amount = 4 * 12,100 B's Amount = 48,400 Final Answer: The amount B received is Rs. 48,400.