In university exams where the total maximum marks were 500, Mohit gets 20% more than Surendra, Surendra gets 20% more than Lalit, and Lalit gets 15% less than Darshan. If Mohit gets 366 marks, what percentage of the full marks does Darshan get? [Give your answer correct to 2 decimal places.]
Answer & explanation
Correct answer: option 2
85% = \(\frac{17}{20}\) , 20% = \(\frac{1}{5}\) & 15% = \(\frac{3}{20}\)
Let marks of Darshan = 100x
Marks of Lalit = \(\frac{17}{20}\) × 100x = 85x
Marks of Surendra = \(\frac{6}{5}\) × 85x = 102x
Marks of Mohit = \(\frac{6}{5}\) ×102x = 122.4x
According to question ,
122.4x = 366
1x = 2.99
Marks of Darshan = 100x = 100 × 2.99 = 299
Percentage of marks scored by Darshan = \(\frac{299}{500}\) × 100 = 5.80%