Varun, Ragav, Nagesh enter into a partnership. Varun contributes one-third of the whole capital while Ragav contributes as much as the contribution of Varun and Nagesh together. If the profit at the end of the year is Rs. 1,02,000, how much would Nagesh receive? (In Rs.)
Varun = 1/3 of total capital
Let total capital = 3x
Varun = x
Ragav contributes as much as
Varun + Nagesh
Let Nagesh = y
Ragav = x + y
Total capital
x + (x + y) + y = 3x
2x + 2y = 3x
2y = x
y = x/2
Ratio
Varun : Ragav : Nagesh
= x : (x + x/2) : x/2
= x : 3x/2 : x/2
Multiply by 2
= 2 : 3 : 1
Total parts = 6
Profit = 1,02,000
Share of Nagesh
= (1 / 6) × 102000
= 17000
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