Question : A and B started a business investing amounts of INR 92,500 and INR 1,12,500, respectively. If B's share in the profit earned by them is INR 9,000, what is the total profit (in INR) earned by them together?
Option 1: 20,000
Option 2: 16,400
Option 3: 19,000
Option 4: 21,240
Correct Answer: 16,400
Solution :
Profit is divided by the ratio of investment.
According to the question
Ratio of profit = 92500 : 112500 = 37 : 45
Let the total profit be INR $x$.
Share of B = $\frac{45}{45 + 37} × x$
⇒ $9000=\frac{45}{82} × x$
$ \therefore x=16400$
Hence, the correct answer is INR 16,400.
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