Question

8. The marks obtained by Hare Rama in Mathematics, English and Biology are respectively 93 out
of 100, 78 out of 150 and 177 out of 200. Find his average score in percent.
(a) 87.83
(b) 86.83
(C) 76.33
(d) 77.33​

Answer 1

To do so we must convert the marks into out of 100.

Maths ⇒ 93 out 100

English ⇒ 78 out of 150

Biology ⇒ 177 out of 200

$\rule{300}{1}$

Let's convert the marks out of 100 for English first.

$\frac{78}{150} \times 100$

$\frac{78 \div 6 }{150 \div 6 } \times 100$

$\frac{13}{25} \times 100$

$\frac{13}{25\div 25 } \times 100\div 25$

$13 \times 4$

$52$

∴ Hare Rama received 52 out of 100 in English.

$\rule{300}{1}$

Let's convert the marks out of 100 for Biology now.

$\frac{177}{200} \times 100$

$\frac{177}{200 \div 100 } \times 100\div 100$

$\frac{177}{2}$

$88.5$

∴ Hare Rama received 88.5 out of 100 in Biology.

$\rule{300}{1}$

So now we know ⇒

Maths ⇒ 93 out of 100

English ⇒ 52 out of 100

Biology ⇒ 88.5 out of 100

Since the numbers are represented with 100 as the denominator we will remove 100 and make the numerator the percentage obtained.

Maths ⇒ 93%

English ⇒ 52%

Biology ⇒ 88.5%

The formula to find average of any group of numbers is ⇒ $\dfrac{Sum \ of \ all\ the \ observations}{Number \ of \ Observation}$

Lets find the average marks Hare Rama obtained using the above formula.

$\dfrac{93+52+88.5}{3}$

$\dfrac{233.5}{3}$

$77.\overline{33}$

∴ The average marks obtained by Hare Rama is (d) 77.33

$\rule{300}{1}$