Question:

A man left one-half of his property for his wife, one-third for his son and the remainder for his daughter. If the daughter's share was worth Rs. 45,000, how much money did the man leave?

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Always express fractional divisions of a whole amount using a common denominator before solving.
Updated On: Mar 7, 2025
  • Rs. 245,000
  • Rs. 260,000
  • Rs. 270,000
  • Rs. 275,000
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The Correct Option is C

Solution and Explanation

Let the total property be \( x \).
The daughter's share is: \[ x - \left( \frac{x}{2} + \frac{x}{3} \right) \] \[ = x - \left( \frac{3x}{6} + \frac{2x}{6} \right) = x - \frac{5x}{6} = \frac{x}{6} \] Given \( \frac{x}{6} = 45000 \), solving for \( x \): \[ x = 45000 \times 6 = 270,000 \] Thus, the man left Rs. 270,000.
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