Question

SOLVE THIS EQUATION
$500\% + 11 \times \frac{1}{9} \%$
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Answer 1

★Concept :-

Here the concept of Percentage has been used. We see that we aee given an equation to be solved. The question that how it can be solved since there are two percentage terms and we have to add them. Even there is a divison term also. Firstly we will try to remove the percentage from one term and then from other and then perform the algebraic functions.

Let's do it !!

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★ Solution :-

Given,

$\\\;\bf{\mapsto\;\;\red{500\%\;+\;11\:\times\:\dfrac{1}{9}\%}}$

We already know the rule of BODMAS that is Bracket Function, Of function, Division Multiplication, Addition and then Subtraction.

The above equation can be written as,

$\\\;\bf{\rightarrow\;\;500\%\;+\;\bigg(11\:\times\:\dfrac{1}{9}\%\bigg)}$

Let's solve this question step - by - step.

• Step I ::

Here we shall remove the % of the fraction in the bracket. For removing % sign we must divide the term by 100. So,

$\\\;\bf{\rightarrow\;\;500\%\;+\;\bigg(11\:\times\:\dfrac{\frac{1}{9}}{100}\bigg)}$

$\\\;\bf{\rightarrow\;\;\pink{500\%\;+\;\bigg(11\:\times\:\dfrac{1}{900}\bigg)}}$

• Step II ::

Here we shall solve the bracket first because according to the rule of BODMAS it should be solved first. So,

$\\\;\bf{\rightarrow\;\;\green{500\%\;+\;\bigg(\dfrac{11}{900}\bigg)}}$

• Step III ::

Here we will remove the % sign from the first term by the simple method as earlier.

$\\\;\bf{\rightarrow\;\;\dfrac{500}{100}\;+\;\bigg(\dfrac{11}{900}\bigg)}$

By dividing the first term by 100 from numerator and denominator, we get

$\\\;\bf{\rightarrow\;\;\dfrac{5}{1}\;+\;\bigg(\dfrac{11}{900}\bigg)}$

$\\\;\bf{\rightarrow\;\;\blue{5\;+\;\bigg(\dfrac{11}{900}\bigg)}}$

• Step IV ::

Here we shall solve the equation by algebraic methods.

$\\\;\bf{\rightarrow\;\;5\;+\;\bigg(\dfrac{11}{900}\bigg)}$

$\\\;\bf{\rightarrow\;\;5\;+\;\dfrac{11}{900}}$

By taking LCM of both, we get

$\\\;\bf{\rightarrow\;\;\dfrac{900\:\times\:5}{900}\;+\;\dfrac{11}{900}}$

$\\\;\bf{\rightarrow\;\;\dfrac{4500}{900}\;+\;\dfrac{11}{900}}$

Now adding the terms, we get

$\\\;\bf{\rightarrow\;\;\dfrac{4500\;+\;11}{900}}$

$\\\;\bf{\rightarrow\;\;\dfrac{4511}{900}}$

This is the required answer.

$\\\;\underline{\boxed{\tt{Required\;\:answer\;=\;\bf{\purple{\dfrac{4511}{900}}}}}}$

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