Question

Of a man's salary 20℅ is paid as rent 55℅ are his living expenses, 15℅ is deposited in the post office. If he spends the remaining Rs. 30 on the education of his children, find his salary​

Answer 1

remaining 20℅ .....................

Answer 2

Answer:

$\huge{ \underline{ \rm{ \large{ \pink{Given:}}}}}$

• In Man's salary 20% is paid as rent
• 55% are his living expenses
• 15℅ is deposited in the post office
• Rs. 30 on the education of his children

$\huge{ \underline{ \rm{ \large{ \red{Find:}}}}}$

• Salary of man?

$\huge{ \underline{ \rm{ \large{ \blue{Solution:}}}}}$

$\large{ \sf{ \: Let \: take \: the \: salary \: of \: man \: as \: x }}$

${ \sf{ \large{➛ \:Money \: paid \: on \: rent = \frac{20x}{100} = \frac{4x}{20} }}}$

${ \sf{ \large{➛ \:Money \: Paid \: for \: his \: living \: Expenses = \frac{55x}{100} = \frac{11x}{20} }}}$

${ \sf{ \large{➛ \:Money \: Paid \: in \: Post \: office = \frac{15x}{100} = \frac{3x}{20} }}}$

${ \sf{ \large{➛ \: Money \: Paid \: for \: his \: Children's \: Education = 30}}}$

Salary of Man:-

$\to{ \: \sf{x = \large{ \: \frac{4x}{20} + \frac{11x}{20} + \frac{3x}{20} + 30}}}$

${ \to{ \sf{ \large{x = \frac{(4x + 11x + 3x)}{20} + 30}}}}$

${ \to{ \sf{ \large{x = \frac{18x}{20} + 30 }}}}$

${ \to{ \sf{ \large{x = \frac{9x}{10} + 30}}}}$

${ \to{ \sf{ \large{x = \frac{9x + 300}{10} }}}}$

${ \to{ \sf{ \large{10x = 9x + 300}}}}$

${ \to{ \sf{ \large{10x - 9x = 300}}}}$

${ \to{ \sf{ \large{x = 300}}}}$

$\therefore{ \sf{ \large{ \green{Salary \: of \: man = Rs.300}}}}$