Question

I get 53% in my semester exam my score is 477 and Michael’s score is 693 in the same exam what is Michaels Percentage?

Answer 1

Answer:

77%

Step-by-step explanation:

first you need to find how many questions were on the exam

53/100 =477/x

47700 = 53x

/53           /53

900 = x

This is how many questions they had on the exam

then you need to find Michael's score

x/100 = 693/900

69300 = 900x

/900        /900

77 = x

Answer 2

Michael's percentage in the given exam is 77%.

Given,

In an exam, score at 53% = 477,

Michael's score = 693.

To find,

Michael's Percentage in the same exam.

Solution,

Firstly, let the maximum marks for the given exam be $x$ marks.

At 53%, the score is given to be 477. It means 53 percent of $x$ should be 477.

So,

53% of $x$ = 477

$\implies \frac{53}{100} \times x=477$

Simplifying after cross multiplication,

$x=\frac{477 \times 100}{53}$

$\implies x = 9 \times 100$

⇒ x = 900.

Thus, maximum marks = 900.

Now, since Michael's score is 693, the percentage can be determined as follows.

Michael’s percentage

$=\frac{Michael's \hspace{3} marks}{maximum \hspace{3} marks} \times 100$

$= \frac{693}{900} \times 100$

$= \frac{693}{9}$

$=77\%$

⇒ Michael’s percentage = 77%.

Therefore, Michael's percentage in the given exam is 77%.

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