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ExamsSSC CGL (Prelims)General

A and B together earn ₹1200 for a job. A works the whole time; B joins after 40% of the job is done. B is 1.5 times as efficient as A. Find B's share.

  1. ₹432
  2. ₹768
  3. ₹500
  4. ₹600

Correct answer: ₹432

Solution

Let A's efficiency be 1 and B's be 1.5. If the total job is 1 unit, A does all of it, while B does only the last 60%, so B's work contribution is $1.5\times 0.6=0.9$ units and A's is 1 unit. Thus the ratio A:B is $1:0.9=10:9$, so B's share is $1200\times\frac{9}{19}=₹432$.

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