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. About the author Allison
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 :- [tex]\mapsto[/tex] In case of marks get out of 80 in his first test : [tex]\implies[/tex] 60 marks [tex]\mapsto[/tex] In case of marks get out of 80 in his second test : [tex]\implies[/tex] 70 marks Now, we have to find the total score percentage in the first and second test : [tex]{\small{\bold{\purple{\underline{\bigstar\: In\: case\: of\: first\: test\: :-}}}}}[/tex] As we know that : [tex]\longmapsto \sf\boxed{\bold{\pink{Total\: percentage\: scored =\: \dfrac{Total\: marks\: obtained}{Total\: marks} \times 100}}}\\[/tex] Given : Total marks obtained = 60 marks Total marks = 80 marks According to the question by using the formula we get, [tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test\: =\: \dfrac{60}{8\cancel{0}} \times 10{\cancel{0}}\\[/tex] [tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{60}{8} \times 10\\[/tex] [tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{60 \times 10}{8}\\[/tex] [tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{\cancel{600}}{\cancel{8}}[/tex] [tex]\leadsto \sf\bold{\green{Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: 75\%}}\\[/tex] Hence, the student scored 75% in the first test. Again, [tex]{\small{\bold{\purple{\underline{\bigstar\: In\: case\: of\: second\: test\: :-}}}}}[/tex] Given : Total marks obtained = 70 marks Total marks = 80 marks According to the question by using the formula we get, [tex]\leadsto\sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70}{8\cancel{0}} \times 10{\cancel{0}}\\[/tex] [tex]\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70}{8} \times 10\\[/tex] [tex]\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70 \times 10}{8}\\[/tex] [tex]\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{\cancel{700}}{\cancel{8}}\\[/tex] [tex]\leadsto\sf\bold{\green{Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: 87.5\%}}[/tex] 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 : [tex]\longmapsto \sf\boxed{\bold{\pink{Increase\: percentage\: =\: Marks\: scored\: in\: {2}^{{nd}}\: test\: -\: Marks\: scored\: in\: {1}^{{st}}\: test}}}\\[/tex] Given : Marks scored in second test = 87.5% Marks scored in first test = 75% According to the question by using the formula we get, [tex]\dashrightarrow \sf Increase\: percentage =\: 87.5\% – 75\%\\[/tex] [tex]\dashrightarrow \sf Increase\: percentage =\: \dfrac{875}{10}\% – 75\%\\[/tex] [tex]\dashrightarrow \sf Increase\: percentage =\: \bigg(\dfrac{875}{10} – 75\bigg)\%\\[/tex] [tex]\dashrightarrow\sf Increase\: percentage =\: \bigg(\dfrac{875 – 750}{10}\bigg)\%\\[/tex] [tex]\dashrightarrow \sf Increase\: percentage =\: \bigg(\dfrac{125}{10}\bigg)\%\\[/tex] [tex]\dashrightarrow \sf\bold{\red{Increase\: percentage =\: 12.5\%}}\\[/tex] [tex]\therefore[/tex] The increase percentage that students gets in the second test is 12.5%. Reply
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%. Reply
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 :-
[tex]\mapsto[/tex] In case of marks get out of 80 in his first test :
[tex]\implies[/tex] 60 marks
[tex]\mapsto[/tex] In case of marks get out of 80 in his second test :
[tex]\implies[/tex] 70 marks
Now, we have to find the total score percentage in the first and second test :
[tex]{\small{\bold{\purple{\underline{\bigstar\: In\: case\: of\: first\: test\: :-}}}}}[/tex]
As we know that :
[tex]\longmapsto \sf\boxed{\bold{\pink{Total\: percentage\: scored =\: \dfrac{Total\: marks\: obtained}{Total\: marks} \times 100}}}\\[/tex]
Given :
Total marks obtained = 60 marks
Total marks = 80 marks
According to the question by using the formula we get,
[tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test\: =\: \dfrac{60}{8\cancel{0}} \times 10{\cancel{0}}\\[/tex]
[tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{60}{8} \times 10\\[/tex]
[tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{60 \times 10}{8}\\[/tex]
[tex]\leadsto \sf Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: \dfrac{\cancel{600}}{\cancel{8}}[/tex]
[tex]\leadsto \sf\bold{\green{Total\: Percentage\: scored\: in\: {1}^{{st}}\: test =\: 75\%}}\\[/tex]
Hence, the student scored 75% in the first test.
Again,
[tex]{\small{\bold{\purple{\underline{\bigstar\: In\: case\: of\: second\: test\: :-}}}}}[/tex]
Given :
Total marks obtained = 70 marks
Total marks = 80 marks
According to the question by using the formula we get,
[tex]\leadsto\sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70}{8\cancel{0}} \times 10{\cancel{0}}\\[/tex]
[tex]\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70}{8} \times 10\\[/tex]
[tex]\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{70 \times 10}{8}\\[/tex]
[tex]\leadsto \sf Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: \dfrac{\cancel{700}}{\cancel{8}}\\[/tex]
[tex]\leadsto\sf\bold{\green{Total\: Percentage\: scored\: in\: {2}^{{nd}}\: test =\: 87.5\%}}[/tex]
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 :
[tex]\longmapsto \sf\boxed{\bold{\pink{Increase\: percentage\: =\: Marks\: scored\: in\: {2}^{{nd}}\: test\: -\: Marks\: scored\: in\: {1}^{{st}}\: test}}}\\[/tex]
Given :
Marks scored in second test = 87.5%
Marks scored in first test = 75%
According to the question by using the formula we get,
[tex]\dashrightarrow \sf Increase\: percentage =\: 87.5\% – 75\%\\[/tex]
[tex]\dashrightarrow \sf Increase\: percentage =\: \dfrac{875}{10}\% – 75\%\\[/tex]
[tex]\dashrightarrow \sf Increase\: percentage =\: \bigg(\dfrac{875}{10} – 75\bigg)\%\\[/tex]
[tex]\dashrightarrow\sf Increase\: percentage =\: \bigg(\dfrac{875 – 750}{10}\bigg)\%\\[/tex]
[tex]\dashrightarrow \sf Increase\: percentage =\: \bigg(\dfrac{125}{10}\bigg)\%\\[/tex]
[tex]\dashrightarrow \sf\bold{\red{Increase\: percentage =\: 12.5\%}}\\[/tex]
[tex]\therefore[/tex] The increase percentage that students gets in the second test is 12.5%.
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%.