document.write( "Question 895122: Rajesh gave 40% of his accumulated amount to his wife,25% to his son & spent 60% on education in the remaining amount.now he is with 2700.what is the amount he gave to his wife \n" ); document.write( "
Algebra.Com's Answer #542584 by Theo(13342) You can put this solution on YOUR website! the amount he originally had is equal to x. \n" ); document.write( "he gave 40% to his wife and 25% to his son, so he gave away 65% of the original amount to his wife and son.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he is left with x - .65*x = .35*x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he spent 60% of the remaining amount on education.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he spent .60 * .35 * x = .21 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he is now left with .35 * x - .21 * x = .14 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that amount is equal to 2700, so you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".14 * x = 2700\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by .14 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2700 / .14 = 19285.71429...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's see if that works.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he started with 19285.71429...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he gave 40% to his wife and 25% to his son.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he is left with .35 * 19285.71429... which is equal to 6750.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he spent 60% of that on education.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he is left with .4 * 6750 = 2700.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the numbers work out.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he started with 19285.71429... which you can round off to 19285.71 if you need to.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |