Question

Shahji was given
an increase in his monthly salary from rs 30000 to rs 36000 and reakha got an increase of 20% in her monthly salary. Who got a higher increment?

Answer 1

Correct Question :

Shahji and Rekha initial Salary is Rs. 30000. Shahji was given an increase in his monthly salary to Rs. 36000 and Rekha got an increase of 20% in her monthly salary. Who got a higher increment?

$\rule{170}{1}$

AnswEr :

$\bf{Given}\begin{cases}\textsf{Initial Salary = Rs. 30000}\\\sf{Rekha\:Increment=20\%}\\ \sf{Shahji\:new\:Salary=Rs. \:36000}\end{cases}$

$\underline{\bigstar\:\textsf{Percentage Increase in Salary of Shahji :}}$

$:\implies\tt Increase\% = \dfrac{Increment}{Initial\: Salary} \times 100\\\\\\:\implies\tt Increase\% = \dfrac{(Final - Initial) Salary}{Initial\: Salary} \times 100\\\\\\:\implies\tt Increase\% = \dfrac{Rs.(36000-30000)}{Rs. 30000} \times 100\\\\\\:\implies\tt Increase\% = \dfrac{Rs. 6000}{Rs. 30000} \times 100\\\\\\:\implies\tt Increase\% = \dfrac{1}{5} \times 100\\\\\\:\implies\boxed{\tt Increase\% = 20\%}$

⠀

$\therefore\:\underline{\textsf{Increment in both Salaries are \textbf{Equal.}}}$

Answer 2

$\bf{\Huge{\boxed{\tt{\red{ANSWER\::}}}}}$

$\sf{20\%}$

$\bf{\Large{\underline{\bf{Given\::}}}}$

Shahji was given an Increase in his monthly salary from Rs.30000 to Rs.36000 and Rekha got an increases of 20% in her monthly salary.

$\bf{\Large{\underline{\bf{To\:Find\::}}}}$

A higher increment of Shahji salary.

$\bf{\Large{\underline{\sf{\purple{Explanation\::}}}}}$

$\bf{We\:have}\begin{cases}\rm{Shahji's\:initial\:salary\:=\:Rs.30000}\\ \rm{Rekha's\:initial\:salary\:=\:Rs.30000}\\ \rm{Shahji's\:final\:salary\:=\:Rs.36000}\\ \rm{Rekha\:Increase\:his\:salary\:=\:20\%}\end{cases}}$

A/q

$\bf{\Large{\underline{\sf{Using\:Formula\:of\:Relative\:Change\:\%\:}}}}}$

$\longmapsto\sf{Shahji's\:Increase\:\%\:=\:\dfrac{Final\:Salary\:-\:Initial\:Salary}{Initial\:Value}*100 }$

$\longmapsto\sf{Shahji's\:Increase\:\%\:=\:\dfrac{36000\:-\:30000}{30000}*100 }$

$\longmapsto\sf{Shahji's\:Increase\:\%\:=\:\dfrac{6000}{300\cancel{00}}*\cancel{100} }$

$\longmapsto\sf{Shahji's\:Increase\:\%\:=\:\dfrac{6000}{300} }$

$\longmapsto\sf{Shahji's\:Increase\:\%\:=\:\cancel{\dfrac{6000}{300} }}$

$\longmapsto\sf{\red{Shahji's\:Increase\:\%\:=\:20\%}}$

Thus,

Shahji & rekha has got equal increment in his salary.