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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.

A 14000 Correct Answer Incorrect Answer
B 8000 Correct Answer Incorrect Answer
C 6500 Correct Answer Incorrect Answer
D 12000 Correct Answer Incorrect Answer
E 7000 Correct Answer Incorrect Answer

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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