Question

in examination 53 student pass in physics 52 student pass in chemistry 65 student passed in Biology if 90 student pass in Physics and Chemistry 2018 student pass in chemistry and Biology and 30 student pass in extremely one subject then find total subject who passed in physics but not in biology and Chemistry ​

Answer 1

Answer:

Let M be the percentage of students who passed Math, M=53%

Let P be the percentage of students who passed Physics, P=61%

Let C be the percentage of students who passed Chemistry, C=60%

Let MP be the percentage of students who passed math and physics, MP=24%

Let PC be the percentage of students who passed physics and chemistry, PC=35%

Let MC be the percentage of students who passed math and chemistry, MC=27%

Let N be the percentage of students who passed none, N=5%

The only unknown term is intersection of three that is percentage those who have passed Math, Physics and Chemistry

From the elementary set theory we have:

100% =  N + M + P + C - MP - PC - MC + MPC

100% = 5% + 53% + 61% + 60% - 24% - 35% - 27% + MPC

100% = 93% +MPC

MPC = 100% - 93% = 7%

Now,  in the ratio, the numerator is  MC - MPC = 27% - 7% = 20%;

the denominator is  PC - MPC = 35% - 7% = 28%

Therefore, the ratio is equal to 20/28= 5/7

Step-by-step explanation: