document.write( "Question 1123837: A man borrowed ₹18,000 from his friend at 7% per annum simple interest. He returned the money after 3 years 6 months. How much money did he pay back altogether? \n" ); document.write( "
Algebra.Com's Answer #740209 by Theo(13342)![]() ![]() You can put this solution on YOUR website! he borrowed 18,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the interest rate was 7% per year simple interest for 3 years and 6 months.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's 3.5 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the simple interest formula is i = p * r * n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i is the interest \n" ); document.write( "p is the principal \n" ); document.write( "r is the interest rate per time period \n" ); document.write( "n is the number of time periods.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your time periods are in years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in your problem, this formula becomes i = 18,000 * .07 * 3.5 = 4,410.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he will have to pay back 18,000 + 4,410 = 22,410 at the end of the 3.5 year loan period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with simple interest, it doesn't matter whether your time periods are in years, months, weeks, or days.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total interest would be the same.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example, if your time periods were in momths, then.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n would be equal to 3.5 * 12 = 42 months. \n" ); document.write( "r would be equal to .07 / 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula would become i = 18,000 * .07 / 12 * 42 = 4,410.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |