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 . If Rs 157300 was their profit, how much amount did B receive?
Question
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 . If Rs 157300 was their profit, how much amount did B receive?
Solution
Step 1: Understand the ratios
The ratio of the amounts invested by A and C is 2:1, and the ratio of the amounts invested by A and B is 3:2.
Step 2: Find a common ratio for A
To find a common ratio for A, we can multiply the two ratios together. This gives us a ratio of 6:2:3 for A, B, and C respectively.
Step 3: Calculate the total parts
The total parts in the ratio are 6 (for A) + 2 (for B) + 3 (for C) = 11 parts.
Step 4: Calculate the value of one part
The total profit is Rs 157300. So, the value of one part is Rs 157300 / 11 = Rs 14300.
Step 5: Calculate the amount B received
B has 2 parts in the ratio, so the amount B received is 2 * Rs 14300 = Rs 28600.
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