percentage

Question

In 2011 americans spent an average of 13.6% of their monthly earnings on mortage payment which represented a 41% decrese from the valu in 2006 what percentage of monthly earming did americans spend on mortgage payments in 2006?

Answer 1

let x=the percent of monthly earnings spent on mortgage in 2006

x-41%x=13.6%

x-0.41x=0.136

0.59x=0.136

59x=13.6

x=13.6/59

x=0.2305

x=23.05%

check:

if you decrease 23.05% by 41%, that means you have now only 59% of it left

59% of 23.05%=0.59*0.2305=0.13599=13.599%≈13.6%