Answer to Question #9802 in Math for pragati

Question

A man spends 7/15 of his income at home,1/6 of his income on holidays and saves the rest. is he saves 22000 a year,what is his income?

Answer 1

Let's denote the whole income as x. So we have
22000+7/15*x+1/6*x=x
x(1-1/6-7/15)=22000
x*(30-5-14)/30=22000
x*(30-5-14)/30=22000
x*11/30=22000
x=22000*30/11=60000