Question

Ram donated 1/10 of his salary to an orphanage , 1/3 of his salary spent on food, 1/4 of salary on rent and 1/20 of his salary on telephone . This month he donated Rs 5000 in prime minister relief fund . He was left with Rs 3000 with him, find his monthly salary ?

Answer 1

I had done a similar problem for another student. The same principle is applied here.

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.

Answer 2

Answer:

Step-by-step explanation:

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.