Question

Ram donated 1 by 10 of his salary to an orphanage 1 by 3 of his salary spent on food 1 by 4 of his salary on rent and electricity and 1 by 20 of his salary on telephone this month he donated rupees 5000 in Prime Minister relief fund for Uttarakhand vitims he was left with rupees 3000 with him find his monthly salary

Answer 1

Let Ram's salary be x. Then

x = x/10+x/3+x/4+x/10+5000+3000

where

x/10 = amount donated to orphanage
x/3 = amount spent on food
x/4 = amount spent on rent
x/20 = amount spent on telephone
5000 = amount donated to PM Relief Fund and
3000 = balance

The LCM of 10, 3, 4, and 20 is 60.

Thus, x = (6x+20x+15x+3x+300000+180000)/60

or 60x = 44x + 480000

60x-44x = 480000

or 16x = 480000

x = 480000/16 = 30,000

Thus, Ram's monthly salary is Rs. 30,000.