Question

Ram donated 1/10 of his salary to an orphanage, 1/3 of his salary on telephone. This month he donated 5000 in Prime Minister relief fund for Uttarakhand victims. He was left with 3000 with him , find his monthly salary.

Answer 1

Answer:

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.

Step-by-step explanation: