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.]

59.80%

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%