Question

Anil spent 1/4 of his monthly salary on food2/5 on other expenses and donated 1/6 of his income on education of orphan children he was left with 10000 rupees find his monthly income

Answer 1

$\sf\large\underline{Let:}$

• $\rm{The\: monthly\: income\:Anil=x}$

$\sf\large\underline{Given:}$

• $\tt{Spending\:of\:his\: salary\:on\:food=\frac{1}{4}}$
• $\tt{Spending\:of\:his\: salary\:on\: other\:expences=\frac{2}{5}}$
• $\tt{Spending\:of\:his\: salary\:on\:donation=\frac{1}{6}}$
• $\tt{Left\: amount\:out\:of\:his\: salary=Rs.10000}$

$\sf\large\underline{To\: Find:}$

• $\rm{Total\:_{monthly\: income\:of\:Anil}=?}$

$\sf\underline{A.T.Q:}$

$\rm{\implies Total\:_{spending}+Total\:_{Left\: amount}=Total\:_{Amount}}$

$\tt{\implies \bigg(\dfrac{x}{4}+\dfrac{2x}{5}+\dfrac{x}{6}\bigg)+10000=x}$

$\tt{\implies \bigg(\dfrac{15x+24x+10x}{60}\bigg)+10000=x}$

$\tt{\implies \dfrac{49x}{60}+10000=x}$

$\tt{\implies 10000=x-\dfrac{49x}{60}}$

$\tt{\implies 10000=\dfrac{60x-49x}{60}}$

$\tt{\implies 10000=\dfrac{11x}{60}}$

$\tt{\implies 11x=600000}$

$\tt{\implies x=Rs.54545.4545}$

$\sf\large{Hence,}$

$\rm{\implies Anil\:_{monthly\: income}=Rs.54545.4545}$

Answer 2

Answer:

Answer : 54545.45

Step-by-step explanation: