Question

A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initial amount with which he had started the gambling was :

A) 500/3 B) 700/3 C) 300 D) 600

Answer 1

step by step Explaination:

Let the initial amount be x

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2remaining amount after third round = half of the initial amount

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2remaining amount after third round = half of the initial amount(x/4+175)/2 = x/2

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2remaining amount after third round = half of the initial amount(x/4+175)/2 = x/2x/4+175 = x

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2remaining amount after third round = half of the initial amount(x/4+175)/2 = x/2x/4+175 = xx+700=4x

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2remaining amount after third round = half of the initial amount(x/4+175)/2 = x/2x/4+175 = xx+700=4x3x=700

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2remaining amount after third round = half of the initial amount(x/4+175)/2 = x/2x/4+175 = xx+700=4x3x=700x = 700/3

Let the initial amount be xAfter first round, he gets Rs.100 and total amount becomes (x+100).he has to give 50% of (x+100). Remaining money is 50% of (x+100) = (x+100)/2 = x/2+50After second round, he gets Rs.100 and total amount becomes x/2+50+100 = x/2+150remaining money = 50% of (x/2+150)= x/4+75Similarly, remaining amount after third round = 50% of (x/4+75+100) = (x/4+175)/2remaining amount after third round = half of the initial amount(x/4+175)/2 = x/2x/4+175 = xx+700=4x3x=700x = 700/3initial amount = Rs.700/3