In an examination of 180 marks of a subject, 75% marks are allocated for theory and the rest for project work. Veena scored 60% in theory. What percentage of marks must she score in the project to achieve an overall 62% marks in the subject?
Answer & explanation
Correct answer: option 3
75% = \(\frac{3}{4}\) , 60% = \(\frac{3}{5}\) & 62% = \(\frac{31}{50}\)
Total marks of subject = 180
Theory marks = \(\frac{3}{4}\) × 180 = 135
Practical marks = 180 - 135 = 45
Theory marks of Veena = \(\frac{3}{5}\) × 135 = 81
Total marks scored = \(\frac{31}{50}\) × 180 = 111.6
So , practical marks of Veena = 111.6 - 81 = 30.6
Percentage of practical marks = \(\frac{30.6}{45}\) × 100 = 68%