Question

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Answer 1

★ How to do :-

Here, we are given with a fraction percentage and it's value is also given which is 55. The given fraction is 2⅕. According to the equation this fraction percentage is equal to 55. So, we should find the original value. So, we can take the value of that original value as a variable 'x' and then we can find the value of that original value by transportation method. Here, the concept of LHS and RHS is going to be used. So, let's solve!!

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➤ Solution :-

${\tt \leadsto 2 \dfrac{1}{5} \bf\% \tt \: \: of \: \: (x) = 55}$

${\tt \leadsto \dfrac{11}{5} \bf\% \: \tt \times \: (x) = 55}$

${\tt \leadsto 2.2 \bf\% \: \tt \times \: (x) = 55}$

${\tt \leadsto \dfrac{2.2}{100} \times (x) = 55}$

${\tt \leadsto (x) = \dfrac{55 \times 100}{2.2}}$

${\tt \leadsto (x) = \dfrac{5500}{2.2}}$

${\tt \leadsto (x) = \cancel \dfrac{5500}{2.2} = \boxed{\tt 2500}}$

$\Huge\therefore$ The original value of the equation is 2500.

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More to know :-

The formula applied to calculate the percentage is

${\longrightarrow \sf \dfrac{Obtained \: value}{Total \: value} \times 100}$

• To convert the fraction to percentage form, we should multiply the given fraction with 100.
• To convert the decimal to percentage form, first we should convert it to fractional form and then multiply it by 100.
• To convert the ratio to percentage form, first we should convert it to fractional form and then multiply it by 100.