Math, asked by jrav2ik7eshus, 1 year ago

rohit donated 1/5 of his monthly income to an non-government organisation (ngo) working for education of girl child,spent 1/4 of his salary on food ,1/3 on the rent and 1/15 on other expenses .he is left with rs 9000

Answers

Answered by tejasmba
277
The answer can be obtained very easily. Let the salary of Rohit be x. Then

x = x/5+x/4+x/3+x/25+9000, where

x/5 = Amount given to NGO
x/4 = Amount spent on food
x/3 = amount spent on rent
x/15 = amount spent on other expenses
9000 = balance.

The LCM of 5, 4, 3 and 15 is 60. Thus, we get

x = (12x+15x+20x+4x+540000) / 60

60x = 51x + 540000

or 60x-51x = 540000

9x = 540000

Therefore, x = 540000 / 9 = 60,000

Thus, Rohit's salary is Rs. 60,000.
Answered by rekhaaggarwal1612
6

Answer:

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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