Question: In a test, Rajesh got 112 marks which is 32 more than the passing marks. Sonal got 75% marks which is 70 more than the passing marks. What is’ the minimum passing percentage of the test?
Options:
A) 35%
B) 45%
C) 40%
D) 30%
Show Answer
Answer:
Correct Answer: C
Solution:
- $ \because $ Passing marks of test $ =112-32=80 $
Now, let total marks $ =x $
$ \therefore $ 75% of $ x=80+70 $
$ \Rightarrow $ $ \frac{75\times x}{100}=150 $
$ \Rightarrow $ $ x=\frac{150\times 100}{75} $
$ \Rightarrow $ $ x=200 $
$ \therefore $ Passing percentage $ =\frac{80}{200}\times 100=40% $