In a test, Rajesh got 112 marks which was 32 more than the passing marks. Sonal got 75% marks which was 70 more than the passing marks. What is the minimum passing percentage of the test.?

Let maximum marks be N .
According to the question,
75N/100 - 70 = 112 - 32
⇒ 75N/100 = 80 + 70
⇒ 75N/100 = 150
∴ N = 200
Passing marks = 112 - 32 = 80
(as Rajesh got 112 marks which is 32 more than the passing marks)
∴ Minimum passing marks percentage
= (80/200) x 100%
= 40%