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Pushparaj and Himani together invested ₹48,600 in a business. At the end of the year, out of a total profit of ₹6,600, Pushaparaj's share was ₹2,200.
Question

Pushparaj and Himani together invested ₹48,600 in a business. At the end of the year, out of a total profit of ₹6,600, Pushaparaj's share was ₹2,200. What was the investment of Pushparaj?

A.

₹17,280

B.

₹17,170

C.

₹16,200

D.

₹15,365

Correct option is C

Given:
Total Investment = 48,600
Total Profit = 6,600
Pushparaj's Profit Share = 2,200
Formula Used:
Profit Share Ratio = Investment Share Ratio (since the time period is identical for both)
Investment of a partner = Total Investment × Profit Fraction of that partner
Solution:
Since both invested for the same period of one year, the ratio of their profits is perfectly proportional to the ratio of their investments.
First, we find the fraction of total profit that Pushparaj received.
Profit Fraction = 22006600\frac{2200}{6600}​​

Profit Fraction = 13\frac{1}{3}​​
Because the profit ratio equals the investment ratio, Pushparaj's investment must also be exactly 13 \frac{1}{3}​ of the total investment.
Pushparaj's Investment = 13 \frac{1}{3}​ × 48600
Pushparaj's Investment = 16200
Final Answer
So the correct answer is (c)

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