P invested Rs 5000 per month for 6 months of a year and Q invested Rs X per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.If at the end of that investment year, Q receives 4/9 of the total profit, what is the value of (in Rs)?

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2500

3000

4687

8437

Detailed Explanation :

Let total profit = y

So, profit by Q = \dfrac {4} {9} y

Profit by P = y - \dfrac {4} {9}y = \dfrac {5y} {9}

\dfrac {\text {Profit \, by} \, P} {\text{ Profit \, by }\,Q} = \dfrac {5} {9}

\dfrac {5} {4} = \dfrac {C_p T_p} {C_q T_q}

\dfrac {5}{4} = \dfrac {5000 \, \times 6} {X \times 8}

X= \dfrac {5000 \times 6 \times 4} {8 \times 5}

X = 3000

Correct option is : 3000

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