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Q.

Two friends Q and R started a business investing in the ratio 5 : 6. S joined them after six months investing an amount equal to that of R's. At the end of the year 20% profit was earned which was equal to Rs. 98, 000. What was the investment of S ?

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a

Rs. 1, 05, 000

b

Rs. 1, 75, 000

c

Rs. 2, 10, 000

d

None of these

answer is C.

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Detailed Solution

Solution: Let us assume total profit ‘x’

$\Rightarrow 20 % o f x = 98000$

$x = 490000$

$S h a r e o f' Q' = 5 x \times 12 = 60 x$

$\begin{array}{l} ' R' = 6 x \times 12 = 72 x \\ ' S' = 6 x \times 6 = 36 x \\ ∴ 60 x + 72 x + 36 x = 490000 \times 12 \\ 168 x = 490000 \times 12 \\ x = 35000 \\ ∴' S' i n v e s t m e n t i s \Rightarrow 6 x \Rightarrow 6 \times 35000 = 2, 10, 000 \end{array}$

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