Question

Malvika gets 98 marks in her exams. This
amount to 56% of the total marks. What are the
maximum marks?​

Answer 1

Given :

Malvika gets 98 marks in her exams and this amounts to be 56% of the total marks.

Which means that :

56% of "x" is 96.

To find :

The maximum marks.

Solution :

$\leadsto\sf \: 56\% \: of \: x = 98$

$\leadsto\sf\dfrac{56}{100} \times x = 98$

$\leadsto\sf \dfrac{56x}{100} = 98$

$\leadsto\sf56x = 98 \times 100$

$\leadsto\sf56x = 9800$

$\leadsto\sf x = \dfrac{9800}{56}$

$\leadsto\underline\red{ \boxed{ \sf x = 175}}$

Hence, The maximum marks is 175.

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Know more :

• Percentage is the numerator of a fraction with denominator 100. How to convert a percentage into fraction?

• To convert a percentage into fraction, replace the $\%$sign with 1\100 and reduce the fraction to it's simplest form.