In an examination, Pankaj scored certain marks and failed by 48 marks. In the same examination, Rajan scored 56% marks, thus scored 84 marks above passing marks. Find the percentage of marks obtained by Pankaj if Rajan scored 224 marks.

Question: In an examination, Pankaj scored certain marks and failed by 48 marks. In the same examination, Rajan scored 56% marks, thus scored 84 marks above passing marks. Find the percentage of marks obtained by Pankaj if Rajan scored 224 marks.

Solution:
Rajan scored 224 marks.
∴ Pass marks 224 - 84 = 140

∴ Pankaj scored 140 - 48 = 92

56% of Total marks = 224
∴ Total marks = (224 × 100)/56 = 400

Percentage of marks obtained by Pankaj = (92/400) × 100 %
= 23%