document.write( "Question 694284: Puzzle Time :\r
\n" ); document.write( "\n" ); document.write( "There are 4 doors in a video game parlour. (door no. 1, 2, 3 & 4). There is a fee of Rs. 25 for entry as well as exit. The amount u carry inside d parlour gets doubled. U have to get inside d parlour thru door no. 1, come out thru door no. 2, again get inside thru door no. 3 & finally come out thru door no. 4.\r
\n" ); document.write( "\n" ); document.write( "Now answer - how much money u should carry while entering door no. 1 such that u have no money left after coming out of door no. 4 \n" ); document.write( "

Algebra.Com's Answer #427848 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x\"$ = amount carried before entering door #1 (in Rs)
\n" ); document.write( "after paying Rs. 25 fee to enter, you have $\"x-25\"$ .
\n" ); document.write( "At this point you are inside the parlour, so your money doubles to
\n" ); document.write( " $\"2%28x-25%29\"$ .
\n" ); document.write( "You pay Rs. 25 to come out thru door no. 2, and again Rs. 25 to get inside thru door no. 3, ending up with
\n" ); document.write( " $\"2%28x-25%29-25-25\"$ .
\n" ); document.write( "At this point you are inside the parlour, so your money doubles to
\n" ); document.write( " $\"2%282%28x-25%29-25-25%29\"$ .
\n" ); document.write( "Then you pay Rs. 25 to come out thru door no. 4 with
\n" ); document.write( "Rs. $\"2%282%28x-25%29-25-25%29-25\"$ .
\n" ); document.write( "Since you came out with no money left,
\n" ); document.write( " $\"2%282%28x-25%29-25-25%29-25=0\"$ .
\n" ); document.write( "Simplifying:
\n" ); document.write( " $\"2%282%28x-25%29-25-25%29-25=0\"$ --> $\"2%282%28x-25%29-50%29-25=0\"$ --> $\"2%282x-50-50%29-25=0\"$ --> $\"2%282x-100%29-25=0\"$ --> $\"4x-200-25=0\"$ --> $\"4x-225=0\"$
\n" ); document.write( "Solving:
\n" ); document.write( " $\"4x-225=0\"$ --> $\"4x-225%2B225=0%2B225\"$ --> $\"4x=225\"$ --> $\"4x%2F4=225%2F4\"$ --> $\"highlight%28x=56.25%29\"$ \n" ); document.write( "

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