Question

A student gets 60 marks out of 80 in his first test and 70 marks out of 80 in his second test. Find the percentage increased in the 2nd test.​

Answer 1

Answer:

Given :-

A student gets 60 marks out of 80 in his first test and 70 marks out of 80 in his second test.

To Find :-

What is the percentage increase in the second test.

Solution :-

$\mapsto$ In case of marks get out of 80 in his first test :

$\implies$ 60 marks

$\mapsto$ In case of marks get out of 80 in his second test :

$\implies$ 70 marks

Now, we have to find the total score percentage in the first and second test :

${\small{\bold{\purple{\underline{\bigstar\: In\: case\: of\: first\: test\: :-}}}}}$

As we know that :

$\longmapsto \sf\boxed{\bold{\pink{Total\: percentage\: scored =\: \dfrac{Total\: marks\: obtained}{Total\: marks} \times 100}}}$

Given :

Total marks obtained = 60 marks

Total marks = 80 marks

According to the question by using the formula we get,

$\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test\: =\: \dfrac{60}{8\cancel{0}} \times 10{\cancel{0}}$

$\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{60}{8} \times 10$

$\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{60 \times 10}{8}$

$\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{\cancel{600}}{\cancel{8}}$

$\leadsto \sf\bold{\green{Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: 75\%}}$

Hence, the student scored 75% in the first test.

Again,

${\small{\bold{\purple{\underline{\bigstar\: In\: case\: of\: second\: test\: :-}}}}}$

Given :

Total marks obtained = 70 marks

Total marks = 80 marks

According to the question by using the formula we get,

$\leadsto\sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70}{8\cancel{0}} \times 10{\cancel{0}}$

$\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70}{8} \times 10$

$\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70 \times 10}{8}$

$\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{\cancel{700}}{\cancel{8}}$

$\leadsto\sf\bold{\green{Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: 87.5\%}}$

Hence, the students scored 87.5% in the second test.

Now, we have to find the increase percentage in the second test :

So, we can write the formula as :

$\longmapsto \sf\boxed{\bold{\pink{Increase\: percentage\: =\: Marks\: scored\: in\: {2}^{{nd}}\: test\: -\: Marks\: scored\: in\: {1}^{{st}}\: test}}}$

Given :

Marks scored in second test = 87.5%

Marks scored in first test = 75%

According to the question by using the formula we get,

$\dashrightarrow \sf Increase\: percentage =\: 87.5\% - 75\%$

$\dashrightarrow \sf Increase\: percentage =\: \dfrac{875}{10}\% - 75\%$

$\dashrightarrow \sf Increase\: percentage =\: \bigg(\dfrac{875}{10} - 75\bigg)\%$

$\dashrightarrow\sf Increase\: percentage =\: \bigg(\dfrac{875 - 750}{10}\bigg)\%$

$\dashrightarrow \sf Increase\: percentage =\: \bigg(\dfrac{125}{10}\bigg)\%$

$\dashrightarrow \sf\bold{\red{Increase\: percentage =\: 12.5\%}}$

$\therefore$ The increase percentage that students gets in the second test is 12.5%.

${\huge{\underline{\small{\mathbb{\pink{HOPE \ THIS \ HELPED \ UH♡}}}}}}$

Answer 2

$\huge\color{violet}{\mid{\fbox{\tt{AnsweR}}\mid}}$

A student gets 60 marks out of 80 in his first test and 70 marks out of 80 in his second test. What is the percentage increase in the second test. ... Hence, the students scored 87.5% in the second test.