Question

rohan saves rs5000his salary if this is 10 persent of his salary, what is his salary?what persentage is his expense and how much

Answer 1

Question :

rohan saves rs5000 of his salary if this is 10 percent of his salary, what is his salary?what percentage is his expense ?

Answer :

$\sf\blue{Given:}$

• Rohan saves rs 5000 of his salary .

• His saving is 10% of his salary .

$\sf\blue{To\:find:}$

• What is his salary ?

• What percentage is his expense ?

Explanation :

• let Rohan's salary be "x"

saving = 10% of salary

$\longrightarrow\sf{5000 =10/100 × x}$

$\longrightarrow\sf{ 5000 = 10x/100 }$

$\longrightarrow\sf{ 5000 × 100= 10x }$

$\longrightarrow\sf{ 500000= 10x }$

$\longrightarrow\sf{ 500000/10 = x }$

$\longrightarrow\sf\pink{ 50000 = x }$

• Therefore his salary is Rs . 50,000

$\sf\purple{Expense = salary - savings }$

$\longrightarrow\sf{50000-5000}$

$\longrightarrow\sf{50000-5000}$

$\longrightarrow\sf\pink{45000}$

• Therefore his expense is Rs 45000

$\sf\purple{Percentage\:of\:expense= Expense/salary × 100}$

$\longrightarrow\sf{45000/50000×100}$

$\longrightarrow\sf{45/50×100}$

$\longrightarrow\sf{4500/50}$

$\longrightarrow\sf{450/5}$

$\longrightarrow\sf{90}$

• Therefore his Percentage of expenses is 90%

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