Question

Asha got 86.875% marks in annual examinations. If she got 695 marks then the total number of marks is
A) 700
B) 850
C) 800
D) 900

Answer 1

Hint:
We are given with marks obtained by Asha and her percentage also. Use the formula that we use to find our percentage in school days.

Complete step by step solution:
Given that she scored 695 marks in the annual exam.
Her percentage is 86.875%.
Let the total marks of the annual exam be x.
We know that,
\[
  \text{percentage} = \dfrac{\text{marks obtained}}{\text{total marks}} \times 100 \\
   \Rightarrow 86.875 = \dfrac{{695}}{x} \times 100 \\
   \Rightarrow x = \dfrac{{695 \times 100}}{{86.875}} \\
   \Rightarrow x = \dfrac{{69500000}}{{86875}} \\
   \Rightarrow x = 800 \\
\]
So the total number of marks is 800.

So option C is correct.

Additional information:
1) The percentage can be defined as or expressed as a ratio having denominator fixed to 100.
2) % This sign is used to denote percentage.
3) A percentage is a unitless and dimensionless quantity.
4) Percentages are calculated generally in finding the marks in an examination, in profits and losses of the business, discount, commission, rate of interest, changes occurring in things either increase or decrease etc.
5) Percentage plays an extremely important role in economy-related applications.
6) Rate of interest is one of the domains where percentage plays a big part.

Note:
It is a very basic question. Percentage can be defined as or expressed as a ratio having denominator fixed to 100. % this sign is used to denote percentage. Percentage is a unit less and dimensionless quantity. Percentages are calculated generally in finding the marks in an examination , in profits and losses of business, discount , commission, rate of interest, changes occurring in things either increase or decrease etc.