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In a ward of a jail, provisions were available for 800 prisoners for 15 days. Some of the prisoners were transferred to some other ward. The same provisions now lasted for 25 days. Find the number of prisoners transferred.

  • A.200
  • B.1120
  • C.480
  • D.320

Answer: D

320 prisoners were transferred. The provisions equal 800 x 15 = 12,000 prisoner-days. For 25 days they feed 12000/25 = 480 prisoners, so 800 - 480 = 320 were transferred. 200, 1120 and 480 are the other quantities that appear in the working but do not answer the question. Provisions can be treated as a fixed stock of prisoner-days. A stock that lasts 15 days for 800 people can last 25 days only for fewer people, in inverse proportion: 800 x 15 / 25 = 480.

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