Vivan donated Rs.5000 from his salary to the orphanage. He spent 1/4
th of his salary on food,
1/3
rd
of his salary on rent and electricity, and 1
/15
th of his salary on telephone bills. He is left with Rs.9000.
a) Find Vivan‟s monthly salary.
b) What values of Vivan are depicted here?
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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 3000 = balance
Fund and
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.
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