Question

Naveen got an increment of 15% in his salary.If his enhanced salary is ₹14030,What was his original salary?​

Answer 1

$\large\underline{\sf{Solution-}}$

Given that

Naveen got an increment of 15% in his salary.

Let assume that Naveen original salary be ₹ x.

As it is given that increment in salary is 15 % and enhanced salary is ₹ 14030.

$\rm \: x + 15\% \: of \: x \: = \: 14030$

$\rm \: x + \dfrac{15}{100}x = 14030$

$\rm \: x + \dfrac{3}{20}x = 14030$

$\rm \: \dfrac{20x + 3x}{20} = 14030$

$\rm \: \dfrac{23x}{20} = 14030$

$\rm \: x = \dfrac{14030 \times 20}{23}$

$\rm \: x = 610 \times 20$

$\rm\implies \:x = 12200$

So, it means Naveen original salary is ₹ 12, 200

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Additional Information :-

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$

Answer 2

Information provided with us:

• Naveen got an increment of 15% in his salary and his enhanced salary is ₹14030.

Note :

• Enhanced salary means increase in the salary or Pay .

• Increment means a regular or daily increase in the amount that someone is paid.

What we have to find out :

• The original salary of Naveen ?

Assumption :

• Consider salary of Naveen before increase

$\rm \mapsto \: 100 \: Rs$

According to the question ,

• When salary is increased by 15 % ,

$\rm \mapsto \: 100 + 15 \%\: of \: 100$

$\rm \mapsto \: 100 + 15$

$\rm \implies \: 115 \: Rs$

• If his new salary is Rs 115, then his original salary

$\rm \implies \: 100 \: Rs$

• If his new salary is Rs 1, then his original salary

$\rm \implies \dfrac{100}{115} \: Rs$

Similarly ,

• If his new salary is Rs 14030 , then his original salary

$\rm \longrightarrow\: Rs \: ( \dfrac{100}{115} \times \: 14030)$

$\rm \longrightarrow\: Rs \: ( \dfrac{100 \times 14030}{115} )$

$\rm \longrightarrow\: Rs \: ( \dfrac{ 1403000}{115} )$

$\bf \implies \: 12,200\: Rs$

Therefore ,

• The original salary of Naveen is Rs 12,200