Math, asked by d9eehancswetasuda, 1 year ago


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

Answered by mysticd
127

 Let \: Rohit \: monthly \: salary = Rs \:x

 Donation \: to \: non-government\\ organisation  = \frac{x}{5}

 Amount\:spent \:for \: Food = \frac{x}{4}

 Rent = \frac{x}{3}

 Other \: expenses = \frac{x}{15}

 Salary \:left = Rs \:9000

/* According to the problem given */

 Monthly \: salary - Expenses = 9000

 x - \Big( \frac{x}{5}+\frac{x}{4}+\frac{x}{3}+\frac{x}{15}\Big) = 9000

 \implies x - \Big( \frac{12x+15x+20x+4x}{60}\Big) = 9000

 \implies x - \frac{51x}{60} = 9000

\implies \frac{60x-51x}{60} = 9000

\implies \frac{9x}{60} = 9000

 \implies x = 9000 \times \frac{60}{9}

 \implies x = 60000

Therefore.,

 \red {Rohit \: monthly \: salary} \green{= Rs\:60000 }

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Answered by rekhaaggarwal1612
13

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

•••♪

\

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