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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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Step-by-step explanation:
12.5%
Step-by-step explanation:
Method 1: Finding the % scored in each test, and then subtracting them.
According to the question;
Marks scored out of 80 in the 1st test = 60.
Marks scored out of 80 in the 2nd test = 70.
The scores in percentage will be;
First test:
\sf \dashrightarrow \% \ Scored \ in \ the \ first \ test = \dfrac{Score \ Obtained}{Total \ Score} \times 100⇢% Scored in the first test=
Total Score
Score Obtained
×100
\sf \dashrightarrow \% \ Scored \ in \ the \ first \ test = \dfrac{60}{80} \times 100⇢% Scored in the first test=
80
60
×100
\sf \dashrightarrow \% \ Scored \ in \ the \ first \ test = \dfrac{6}{8} \times 100⇢% Scored in the first test=
8
6
×100
\sf \dashrightarrow \% \ Scored \ in \ the \ first \ test = 0.75 \times 100⇢% Scored in the first test=0.75×100
\sf \dashrightarrow \% \ Scored \ in \ the \ first \ test = \bold{75 \%}⇢% Scored in the first test=75%
Second test:
\sf \dashrightarrow \% \ Scored \ in \ the \ second \ test = \dfrac{Score \ Obtained}{Total \ Score} \times 100⇢% Scored in the second test=
Total Score
Score Obtained
×100
\sf \dashrightarrow \% \ Scored \ in \ the \ second \ test = \dfrac{70}{80} \times 100⇢% Scored in the second test=
80
70
×100
\sf \dashrightarrow \% \ Scored \ in \ the \ second \ test = \dfrac{7}{8} \times 100⇢% Scored in the second test=
8
7
×100
\sf \dashrightarrow \% \ Scored \ in \ the \ second \ test = 0.875 \times 100⇢% Scored in the second test=0.875×100
\sf \dashrightarrow \% \ Scored \ in \ the \ second \ test = \bold{87.5 \%}⇢% Scored in the second test=87.5%
Therefore;
% Increase = % Scored in the 2nd test - % Scored in the 1st test
% Increase = 87.5 % - 75 %
% Increase = 12.5
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Method 2: Using the % Increase formula.
\sf \dashrightarrow \% \ Increase = \dfrac{Difference \ in \ score}{Total \ Score} \times 100⇢% Increase=
Total Score
Difference in score
×100
\sf \dashrightarrow \% \ Increase = \dfrac{Score \ in \ the \ 2nd \ test - Score \ in \ the \ 1st \ test}{Total \ Score} \times 100⇢% Increase=
Total Score
Score in the 2nd test−Score in the 1st test
×100
\sf \dashrightarrow \% \ Increase = \dfrac{70 - 60}{80} \times 100⇢% Increase=
80
70−60
×100
\sf \dashrightarrow \% \ Increase = \dfrac{10}{80} \times 100⇢% Increase=
80
10
×100
\sf \dashrightarrow \% \ Increase = 0.125 \times 100⇢% Increase=0.125×100
\sf \dashrightarrow \ \bold{\% \ Increase = 12.5}⇢ % Increase=12.5
Hence solved.