Math, asked by balaji3107, 9 months ago

A and B are working on similar jobs but their annual salaries differ by more than Rs 6000. If B earns rupees 27000 per month, then what are the possibilities of A’s salary per month? Using inequalities

Answers

Answered by topper05

The difference between salaries of A and B=₹6000. If B earns ₹27000 per month, there are one possibility that A earns less than B or another possibility that A earns more than B . So A's Salary= ₹27000+₹6000=₹33000 Or ₹27000-₹6000=₹21000. A's Salary can be 33000 rupees or 21000 rupees.

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge{Salary \: \: of \: A,}$ $\huge\boxed{ \: a \: \epsilon \: ( Rs. 21000 , \infty ]}$

$\huge{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

Salary of B = Rs. 27000 per month
difference between A's and B's salaries is more than Rs. 6000 per month

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

possibility of A's salary per month

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Inequalities

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

let a be the monthly salary of A.

let b be the monthly salary of B.

Case 1 :

when a > b,

then, A/Q,

$\longmapsto$ ( a - b > Rs. 6000 )

$\implies$ ( a - Rs. 27000 > Rs. 6000 )

$\implies$ ( a > Rs. 27000 + Rs. 6000 )

$\implies$ ( a > Rs. 33000 )

Case 2 :

when b > a,

then, A/Q,

$\longmapsto$ ( b - a > Rs. 6000 )

$\implies$ ( Rs. 27000 - a > Rs. 6000 )

$\implies$ ( a > Rs. 27000 - Rs. 6000 )

$\implies$ ( a > Rs. 21000 )

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

a > Rs. 33000

a > Rs. 21000

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