In a company, shares of Shanta, Kanta and Bhranta are in the ratio 3 : 5 : 1. Profit of the company in a certain year is Rs. 3,33,333/-. How much is the profit of Kanta in rupees ?
1,85,185
Profit is divided in the ratio of the shares, so first find the total number of parts.
Total parts \(= 3 + 5 + 1 = 9\).
Kanta holds 5 of those 9 parts, so Kanta's profit \(= \frac{5}{9} \times 333333\).
Divide first to keep the arithmetic clean: \(\frac{333333}{9} = 37037\), which is the value of one part.
Kanta's profit \(= 37037 \times 5 = 185185\).
The split is consistent, since one part is 37037, so Shanta gets \(3 \times 37037 = 111111\) and Bhranta gets 37037, and \(111111 + 185185 + 37037 = 333333\).
Hence the profit of Kanta is Rs. 1,85,185.
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