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The salaries of ram and his brother are in the ratio 5:6 respectively . The salary of Ram's brother is Rs 32,000 per month​

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APPROPRIATE Question : The salaries of ram and his brother are in the ratio 5:6 respectively . The salary of Ram's brother is Rs 32,000 per month. What is the salary of Ram per month?

Step-by-step explanation:

As per the provided information in the given question, we have :

  • The salaries of Ram and his brother are in the ratio 5:6 respectively.
  • The salary of Ram's brother is Rs 32,000 per month.

We are asked to calculate the salary of Ram per month.

― According to the question, the salaries of Ram and his brother are in the ratio 5:6 respectively. So, let us suppose the salary of Ram as 5x and the salary of his brother as 6x.

Also, according to the question, the salary of Ram's brother is Rs 32,000 per month. As according to the first statement, Ram's brother's salary is 6x but according to the second statement, his salary is Rs 32,000 per month. Observing both statements, we can say that,

\longrightarrow \sf{\quad {6x = Rs. \; 32000 }} \\

Transposing 6 from L.H.S to R.H.S. Since we are performing TRANSPOSITION method, so its arithmetic operator will get changed.

\longrightarrow \sf{\quad {x = \cancel{\dfrac {Rs. \;32000}{6}} }} \\

Dividing Rs. 32000 by 6 to FIND the VALUE of x.

\longrightarrow \quad {\textbf{\textsf{x = Rs. \; 5333.33} }} \\

\underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad} \\

Now, as we have ASSUMED the salary of Ram as 5x. So, substitute the value of x and multiply it with 5 to find his salary.

\longrightarrow \sf{\quad {Salary \; of \; Ram = Rs. \; 5x }} \\

Substitute the value of x.

\longrightarrow \sf{\quad {Salary \; of \; Ram = Rs. \; 5(5333.33) }} \\

Multiplying the terms.

\longrightarrow \quad \underline{\boxed{\textbf{\textsf{ Salary \; of \; Ram = Rs. \; 26666.66}}}} \\

Therefore,

⠀⠀⠀★ Ram's Salary = Rs. 26666.66


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