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 th

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.​

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Allison 3 months 2021-07-17T14:04:03+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-17T14:05:28+00:00

    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%.

    0
    2021-07-17T14:05:59+00:00

    Given :

    Total marks obtained = 60 marks

    Total marks = 80 marks

    According to the question by using the formula we get,

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

    Again,

    Given :

    Total marks obtained = 70 marks

    Total marks = 80 marks

    According to the question by using the formula we get,

    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 :

    Given :

    Marks scored in second test = 87.5%

    Marks scored in first test = 75%

    According to the question by using the formula we get,

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

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