Question
A man lost one-fourth of his initial amount in the
gambling after playing three rounds. The rule of Gambling is that if he wins he will receive Rs. 1000, but he has to give 50% of his total amount after each round. Luckily he won all the three round. Find the initial amount that he had.Solution
Let the Initial amount be Rs x According to the question, [(((x+1000)× 1/2+1000)× 1/2+1000) × 1/2] = x/4 [(x/2+ 1500) × 1/2+ 1000 ) × 1/2] = x/4 [x/4+ 1750] × 1/2 = x/4 x/8=875 x= 7000
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