Discussion

If 8 (P’s Capital ) = 10 ( Q’s Capital ) = 12 ( R’s Capital ) , then out of the total profit of Rs 2590 , R will receive ?

Answer: C

\[ 8P = 10Q = 12R \quad\Longrightarrow\quad P : Q : R = \frac{1}{8} : \frac{1}{10} : \frac{1}{12} \]

Multiplying through by 120:

\[ 15 : 12 : 10 \]

\[ \text{total parts} = 37, \qquad \frac{2590}{37} = 70 \]

\[ R = 10 \times 70 = \text{Rs. } 700 \]

The largest capital belongs to P, since the smallest multiplier corresponds to the biggest share.

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