Question

rachel gets 94 marks in the exams . these are 47% of the total marks find the maximum number of marks

Answer 1

➤ Given :-

Marks obtained by Rachel :- 94

Percentage obtained by him :- 47%

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➤ To Find :-

Maximum marks in his examination.

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★ How to do :-

Here, we are given with marks obtained by a boy i.e, 94 and the the percentage of him in his examination is 47%. The 94 marks is equal to 47% in his examination. We should find the total marks in his exam. So, first let's take the total marks of his exam as a variable 'x', and later we should find the value of that variable, the obtained result will be his total marks. Here, the concept of cancellation is going to be used. So, let's solve!

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➤ Solution :-

${\tt \leadsto 47 \bf\% \tt \: \: of \: \: (x) = 94}$

${\tt \leadsto \dfrac{97}{100} \times (x) = 94}$

${\tt \leadsto \dfrac{97}{\cancel{100}} \times (x) = \cancel{94} = \dfrac{97}{50} \times (x) = 47}$

${\tt \leadsto \dfrac{47 \times 50}{97} = (x)}$

${\tt \leadsto \cancel \dfrac{2350}{97} = \boxed{\tt 24.22 \: \: (approx)}}$

$\Huge\therefore$ The maximum marks in Rachel's exam is 24.22.

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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.