Question

600 students took the test on Physics and chemistry. 35% students failed in Physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in Physics, then how many students failed in both :
A.16
B.15
C.13
D.12

Answer 1

______✨ HEY MATE ✨______

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SOLUTION :-
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, 55% of 600 passed in Chemistry = (55 X 600) / 100 = 330 From question, 40% of those who passed in Chemistry(330 Students) also passed in physics => (40 X 330) / 100 = 132 ,
so, 132 students passed in both
Therefore % who passed in both = (132 X 100 ) / 600 = 22%
Passed in both subject = 22% of total students
% of students who passed in either Physics or Chemistry or both,
= (65 +55) -22 = 98%
Thus, percentage of students who failed in both subjects,
= 2%
Number of students who failed = 2% of 600 = 12.

So , Option (D) 12 is the right answer ✔️

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Answer 2

✤ Hєrє Is Yօʊr Aղsωҽɾ⛿
▬▬▬▬▬▬▬▬▬▬▬▬▬

➧ 55% of 600 passed in Chemistry
➾ (55 × 600) / 100
➾ 330

➧ From question, 40% of those who passed in Chemistry(330 Students) also passed in physics

➾ (40 X 330) / 100
➾ 132

➧ So, 132 students passed in both

➧ Therefore % who passed in both

(132 × 100 ) / 600
➾ 22%
(Passed in both subject)

➧ 22% of total students
% of students who passed in either Physics or Chemistry or both,

➾ (65 + 55) -22
➾ 98%

➧ Thus, percentage of students who failed in both subjects
➾ 2%

➧ No. of students who failed are
➾ 2% of 600
➾ 12 ...✔

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