Question

A person spent 1/4 of his money on clothing and 2/3 of remaining on food and he saves rs. 100. what is the money he got at the beginning?

Answer 1

let the amount at the beginning be 'x'

a person spent 1/4 of his money on clothing

= x - x*1/4

= (4x -x)/4

=3x/4

he spents 2/3 of this amount on food and saves 100

(3x)/4 -(3x)/4( 2/3) = 100

(3x)/4 -(3x)/2( 1/3) = 100

(3x)/4 -(3x)/6) = 100

(3x)/4 -(x)/2) = 100

lcm of 4,2 is 4

3x - 2x / 4 = 100

3x - 2x  = 400

x = 400

so the amount at the beginning  is 400

check- 400 - 100 = 300

= 300 - 200 = 100