80% pass in english, 70%pass in maths , 10%fail in both , 144 pass in both . How many all appeared to the test?

2 Answers on this Question

1. pass English =80%
   fail=100-80=20%
   pass Math = 70%
   fail in Math=100-70=30%
   fail in both=10%
   total fail students= fail in Eng+fail in Math-common
   = 20+30-10=40%
   if 40% fail then 60% will pass
   let total students=x
   hence
   60% 0f (total students)=144
   60/100 of (x)= 144
   x=(144×100)/60
   X=240
   total students=240

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2. E: 80%, Fail in both: 10%, therefore only M pass is 10%
   M: 70%, fail in both: 10%, therefore only E pass is 20%
   100% = all fail + only E pass + only M pass + both E and M
   pass
   100%=10%+20%+10% + both E and M pass
   Therefore, both E and M pass = 60%
   60%=> 144
   100% => 240
   Answer: 240

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