Question

Ramesh donated 1/7 of his monthly salary to an non Government organization working of covid ,spend 1/6 of his salary on food and 1/3 of his salary on other expenses.he is left with 25000rs. find his monthly salary​

Answer 1

Step-by-step explanation:

${\LARGE{\bf{\underline{\orange{Question :→}}}}}$

Ramesh donated 1/7 of his monthly salary to an non Government organization working of covid ,spend 1/6 of his salary on food and 1/3 of his salary on other expenses.he is left with 25000rs. Find his monthly salary.

${\LARGE{\bf{\underline{\orange{Solution :→}}}}}$

Let the monthly salary of Ramesh be x,

According to question,

${\bold{\sf{He \: spent \: \frac{x}{7} \: of \: his \: salary \: on \: NGO}}}$

${\bold{\sf{He \: spent \: \frac{x}{6} \: of \: his \: salary \: on \: food}}}$

${\bold{\sf{He \: spent \: \frac{x}{3} \: of \: his \: salary \: on \: other \: expenses}}}$

${\bold{\sf{He \: left \: with \: Rs. 25000}}}$

Therefore,

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{x}{7} \: + \: \frac{x}{6} \: + \: \frac{x}{3} \: + \: 25000 \: = \: x}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{18x \: + \: 21x \: + \: 42x \: + \: 3150000}{126} = x}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{81x + 3150000}{126} \: = \: x}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: 81x \: + \: 3150000 \: = \: 126x}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: 3150000 \: = \: 126x \: - \: 81x}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: 3150000 \: = \: 45x}}}$

${\bold{\sf{: \: ⟹ \: \: \: \: \: \frac{3150000}{45} \: = \: x}}}$

$: \: ⟹ \: \: \: \: \: {\bold{\sf{\fbox{\pink{x \: = \: Rs. 70000}}}}}$

Hence the monthly salary of Ramesh is Rs. 70000