how much money did he have in the beginning?

A man gives 50% of his money to his son and 30% to his daughter. 80% of the rest is donated to a trust. If he is left with Rs.16,000 now, how much money did he have in the beginning

  1. Rs.8,00,000
  2. Rs.80,000
  3. Rs.4,00,000
  4. Rs.40,000
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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  • 1 Answer(s)

    Answer is Rs.4,00,000

    Explanation:-
    Let the has a man be Rs. X

    He gives 50% of his money to his son and 30% to his daughter. 
    Then, rest money = X – X x 50/100 – X x 30/100
     = X – 5 X/10 – 3 X/10
     =  X – 8 X/10
     = X/5

    80% of the rest is denoted to a trust. If he is left with Rs. 16, 000 now, 
    X /5 – X x 80/5 x 100 = 16, 000
    X/5 – 4 X/5 x 5 = 16, 000
    (5 X – 4 X)/25 = 16, 000
    X = 16, 000 x 25
    X = 4, 00, 000

    Then, he have Rs. 4, 00, 000 money in the beginning. 

    Hence, the correct answer is option (3) Rs. 4, 00, 000. 

    Monis Rasool Professor Answered on 29th December 2015.
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