Question

Johnny got a 15% raise! His new salary is $5500 more than his old salary. What was his salary before the raise

Answer 1

${\underline{\underbrace{\mathcal\color{purple}{Heya Mate! }}}}$

Given :-

Increase in his salary :- ₹5500

Percentage of incresion :- 15%

To Find :-

Johnny's salary before his raise

★ How to do :-

Here, we are given with that a boy's salary is raised by 15% if his old salary. His increased salary in amount form is ₹5500. We should find the old salary before the incresion in his salary. To find that, first we should convert the percentage into fractional format and then we can find the answer by transportation method, by shifting the LHS to RHS. So, let's solve!!

➤ Solution :-

New salary :-

${\tt \leadsto \red{15 \bf\% \tt \: \: of \: \: (x) = 5500}}$

${\bf \green {\leadsto \dfrac{15}{100} \times (x) =$

${\sf \orange{\leadsto \dfrac{5500 \times 100}{15} = (x)}}$

${\tt \cal \pink{\leadsto \dfrac{550000}{15} = (x)}}$

${\green{ \mapsto \cancel \dfrac{550000}{15} = \boxed{\tt 36666.66 \approx}}}$

∴ Johnny's old salary was ₹36666.66.

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More to know :-

Ratios are the easiest way to compare two values together. It's symbol is represented by a symbol as (:)

The ratios can also be converted to fractions, decimals and percentage by using some specific methods.

To convert ratio to fraction, just write the first number as numerator and the second number as denominator.

To convert ratio to decimal, first convert it to fraction and then divide it.

To convert ratio to percentage, first convert it to fraction and divide it by 100.

Hope it helps you :)

Answer 2

$\huge { \underline{ \blue{ \underline{ \red{ \underline \mathfrak \pink{answer࿐}}}}}}$

❤ Given :-

Increase in his salary :- ₹5500

Percentage of incresion :- 15%

❤ To Find :-

Johnny's salary before his raise

⚡How to do :-

Here, we are given with that a boy's salary is raised by 15% if his old salary. His increased salary in amount form is ₹5500. We should find the old salary before the incresion in his salary. To find that, first we should convert the percentage into fractional format and then we can find the answer by transportation method, by shifting the LHS to RHS. So, let's solve!!

❤Solution :-

New salary :-

$\bold \pink{\tt \leadsto 15 \bf\% \tt \: \: of \: \: (x) = 5500}⇝15%of(x)=5500$

$\bold \orange{\tt \leadsto \dfrac{15}{100} \times (x) = 5500}⇝</p><p>100</p><p>15</p><p>×(x)=5500$

$\bold \green{\tt \leadsto \dfrac{5500 \times 100}{15} = (x)}⇝</p><p>15</p><p>5500×100</p><p>=(x)$

$\bold \red{\tt \leadsto \dfrac{550000}{15} = (x)}⇝</p><p>15</p><p>550000</p><p>=(x)$

$\bold {\tt \leadsto \cancel \dfrac{550000}{15} = \boxed{\tt 36666.66 \approx}}⇝</p><p>15</p><p>550000</p><p>=</p><p>36666.66≈$

$\fbox\pink{therefore Johnny's old salary was ₹36666.66.}</p><p></p><p>$