In an examination in which full marks were 800, Aditya gets 20% more than Bharti, Bharti gets 20% more than Chinmay, and Chinmay gets 15% less than Divya. If Aditya got 576, what percentage of full marks did Divya get (approximately)?

In an examination in which full marks were 800, Aditya gets 20% more than Bharti, Bharti gets 20% more than Chinmay, and Chinmay gets 15% less than Divya. If Aditya got 576, what percentage of full marks did Divya get (approximately)? Correct Answer 58.8%

Calculation:

Aditya = 120/100 of Bharti

Bharti = 120/100 of Chinmay

Chinmay = 85/100 of Divya

∴ Bharti = 5/6 × Aditya ; Chinmay = 5/6 × Bharti ; Divya = 20/17 × Chinmay

∴ Bharti = 5/6 × 576

⇒ 480

∴ Chinmay = 5/6 × 480

⇒ 400

∴ Divya = 20/17 × 400

⇒ 8000/17

∴ Required Percentage:

⇒ 8000/17 × 1/800 × 100

⇒ 58.82%

∴ 58.8% of full marks did Divya get.

Verification :

In an examination in which full marks were 800, Aditya gets 20% more than Bharti (480 marks), Bharti gets 20% more than Chinmay( 400 marks), and Chinmay gets 15% less than Divya(470.58 marks). If Aditya got 576, what percentage of full marks did Divya get (approximately)?

percentage of full marks Divya got = 470.58/800 × 100 = 58.82 %