In an examination, A has scored 20 marks more than B

In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?

1. 360
2. 380
3. 400
4. 420

Answer

Let B scored m marks.

So, A scored m + 20 marks.

Let maximum marks be M.

According to the question, B has scored 5% less marks than A.

So, marks scored by B = (100 - 5)% of A

m = 95/100 × (m + 20)

100m = 95m + 1900

5m = 1900

m = 380

The correct option is B.