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Division of Line Segment in Given Ratio - Class X

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Multiple Choice

ABC is a triangle, the point P is on side BC such that $3\bar{BP}=2\bar{PC}$, the point Q is on the line $\bar{CA}$ such that $4\bar{CQ}=\bar{QA}$. If R is the common point $\bar{AP}$ & $\bar{BQ}$, then the ratio in which the fine joining CR divides $\bar{AB}$ is?

  1. $2:5$
  2. $3:8$
  3. $4:1$
  4. $6:1$
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