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A man gives 25% of his land to his daughter and 30% of what is then left to his son, and keeps the rest for himself. What per cent of his land does he keep?

Competition practicePercentage
  • A45%
  • B22.5%
  • C52.5%
  • D47.5%

Step-by-Step Solution

Take the land as 100. The daughter takes 25, leaving 75. The son takes 30% of those 75 = 22.5, so the man keeps 75 - 22.5 = 52.5%. Equivalently . 45% is 100 - 25 - 30, which wrongly treats the son's 30% as a share of the whole holding instead of a share of the remaining three-quarters. 22.5% is the son's share alone, and 47.5% is what was given away.
Answer: C) 52.5%

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