Salary of Lilly and Tom are in the ratio of #1:2#. If their salary is increases by #3000# each, the ratio becomes #40:57#. How much is present salary of Tom?

1 Answer
Dec 8, 2016

Answer:

Tom's present salary is #$4434.78#

Explanation:

As the salary of Lilly and Tom in the ratio of #1:2#

let the present salary of Lilly be #x# and that of Tom be #2x#

After their salaries are increased by #3000# each, the ratio becomes

#(x+3000)/(2x+3000)#, but this should be #40:57#

Hence #(x+3000)/(2x+3000)=40/57#

or #57(x+3000)=40(2x+3000)#

or #57x+171000=80x+120000#

or #80x-57x=171000-120000#

i.e. #23x=51000#

and #x=51000/23=2217 9/23=2217.39#

Hence, the present salary of Lilly is #$2217.39# and that of Tom is #2xx2217.39=$4434.78#