Question

Shanu scored 340 marks out of 400. Find the percentage of marks scored by Shanu?

Answer 1

Hint: We are given with the total numbers of marks and the marks that person obtained. The thing is generally we find the percentage as the ratio of marks obtained to the total number of marks multiplied by 100. Here also we will use the same formula.

Formula used:
\[percentage = \dfrac{{marks\,obtained}}{{total\,marks}} \times 100\]

Complete step-by-step answer:
Given that she scored 340 marks.
So to find the percentage we will use the formula.
\[percentage = \dfrac{{marks\,obtained}}{{total\,marks}} \times 100\]
Putting the values
\[ \Rightarrow \dfrac{{340}}{{400}} \times 100\]
Cancel 400 by 100
\[ \Rightarrow \dfrac{{340}}{4}\]
Divide 340 by 4
\[ \Rightarrow 85\% \]
This is the percentage she has scored \[ 85\% \].

Note: 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.