Rohit donated 1/5 of his monthly income to an non-government organisation (ngo) working for the education on girl child,spent 1/4 of his salary on food , 1/3 on rent and 1/15 on other expenses .He is left with rs 9000 . find rohit monthly salary ?
Answers
/* According to the problem given */
Therefore.,
•••♪
Step-by-step explanation:
Let \: Rohit \: monthly \: salary = Rs \:xLetRohitmonthlysalary=Rsx
\begin{gathered}Donation \: to \: non-government\\ organisation = \frac{x}{5}\end{gathered}
Donationtonon−government
organisation=
5
x
Amount\:spent \:for \: Food = \frac{x}{4}AmountspentforFood=
4
x
Rent = \frac{x}{3}Rent=
3
x
Other \: expenses = \frac{x}{15}Otherexpenses=
15
x
Salary \:left = Rs \:9000Salaryleft=Rs9000
/* According to the problem given */
Monthly \: salary - Expenses = 9000Monthlysalary−Expenses=9000
x - \Big( \frac{x}{5}+\frac{x}{4}+\frac{x}{3}+\frac{x}{15}\Big) = 9000x−(
5
x
+
4
x
+
3
x
+
15
x
)=9000
Let \: Rohit \: monthly \: salary = Rs \:xLetRohitmonthlysalary=Rsx
\begin{gathered}Donation \: to \: non-government\\ organisation = \frac{x}{5}\end{gathered}
Donationtonon−government
organisation=
5
x
Amount\:spent \:for \: Food = \frac{x}{4}AmountspentforFood=
4
x
Rent = \frac{x}{3}Rent=
3
x
Other \: expenses = \frac{x}{15}Otherexpenses=
15
x
Salary \:left = Rs \:9000Salaryleft=Rs9000
/* According to the problem given */
Monthly \: salary - Expenses = 9000Monthlysalary−Expenses=9000
x - \Big( \frac{x}{5}+\frac{x}{4}+\frac{x}{3}+\frac{x}{15}\Big) = 9000x−(
5
x
+
4
x
+
3
x
+
15
x
)=9000
\implies x - \Big( \frac{12x+15x+20x+4x}{60}\Big) = 9000⟹x−(
60
12x+15x+20x+4x
)=9000
\implies x - \frac{51x}{60} = 9000⟹x−
60
51x
=9000
\implies \frac{60x-51x}{60} = 9000⟹
60
60x−51x
=9000
\implies \frac{9x}{60} = 9000⟹
60
9x
=9000
\implies x = 9000 \times \frac{60}{9}⟹x=9000×
9
60
\implies x = 60000⟹x=60000
Therefore.,
\red {Rohit \: monthly \: salary} \green{= Rs\:60000 }Rohitmonthlysalary=Rs60000
•••♪
\