Two friends P and Q started a business investing in the ratio 5 : 6. R joined them after six months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98000. What was the amount invested by R?
A. Rs. 105000
B. Rs. 175000
C. Rs. 210000
D. Data inadequate
E. None of these
Answer: Option C
Solution(By Examveda Team)
Let the total investment be Rs. zThen,
$$\eqalign{ & 20\% {\text{ of }}z = 98000 \cr & \Leftrightarrow z = \left( {\frac{{98000 \times 100}}{{20}}} \right) \cr & \Leftrightarrow z = 490000 \cr} $$
Let the capital of P, Q and R be
Rs. 5x, Rs. 6x and Rs. 6x respectively
Then,
$$ \Leftrightarrow \left( {5x \times 12} \right)$$ + $$\left( {6x \times 12} \right)$$ + $$\left( {6x \times 6} \right)$$   = $$490000 \times 12$$
$$\eqalign{ & \Leftrightarrow 168x = 490000 \times 12 \cr & \Leftrightarrow x = \left( {\frac{{490000 \times 12}}{{168}}} \right) \cr & \Leftrightarrow x = 35000 \cr & \therefore {\text{R's investment}} \cr & = {\text{Rs}}{\text{. }}6x \cr & = {\text{Rs}}{\text{.}}\left( {6 \times 35000} \right) \cr & = {\text{Rs}}{\text{. 210000}} \cr} $$
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Comments ( 4 )
Related Questions on Partnership
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
if R's investment is 210000 so Q's investment is also 210000(as their's investment is equal) and p's investment is 175000(as p:q = 5:6)
so total investment is(210000+210000+175000) 595000 but calculated investment is 490000
Answer will be 1,05,000. Not C.
Please check this math
Why 12 is multiplied with 490000???