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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Step-by-step explanation:
Ivan donated of his salary to the orphanage , \frac{1}{4} of his salary on food, \frac{1}{3} of his salary on rent and electricity , and \frac{1}{15} of salary telephone bills. this month he donated Rs 6000 in a charity. He is left with Rs 4000
TO FIND :
Ivan's monthly salary
SOLUTION :
Let Ivan's salary be x
\frac{x}{4} +\frac{x}{3} +\frac{x}{15}+6000 is what he spent
He had balance of Rs 4000
x - (\frac{x}{4} +\frac{x}{3} + \frac{x}{15}+6000)=4000
Multiply the equation by LCM 60
\frac{60x -15x-20x -4x-360000}{60}=4000
60x -15x-20x -4x-360000=4000\times 60
60x-15x-20x-4x-360000=240000
60x-39x=240000+360000
21x=600000
x=\frac{600000}{21}
∴ x= 28571.43
∴ Ivan's monthly salary is Rs 28571.43
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