Ghanshyam and Raju got their marks(out of 50 marks) in 4 subjects i.e

1.	Ghanshyam and Raju got their marks(out of 50 marks) in 4 subjects i.e English, Science, Maths and Social. The avg marks obtained by Raju is 38. The ratio of marks obtained by Raju and Ghanshyam in Maths is 5 ∶ 6 and the average marks obtained by Ghanshyam is 41. If the marks scored by both of them in English and Science is same and in Social Raju got 5 marks less than Ghanshyam. What is the marks scored by them in English and Science if Raju scored 40 marks in Social?1. 422. 36.53. 38.54. 405. 32.5
Answer» Correct Answer - Option 3 : 38.5 Total marks scored by Raju = 38 × 4 = 152 Total marks scored by Ghanshyam = 41 × 4 = 164 Ratio of marks obtained by Raju and Ghanshyam in Maths = 5 ∶ 6 ⇒ Let the marks obtained by Raju and Ghanshyam in Maths be 5x and 6x Marks scored by Raju in Social = 40 Marks scored by Ghanshyam in Social = 45 Let the marks scored by them in English and Science = y ∴ The difference in marks scored by them ⇒ (6x + y + y + 45) – (5x + y + y + 40) = 164 – 152 ⇒ x = 7 ∴ Marks scored by Raju in Maths = 7 × 5 = 35 ∴ Marks obtained by Raju in English and Science ⇒ y + y = 152 – 40 – 35 = 77 ⇒ y = 77/2 = 38.5 ∴ The marks scored by Ghanshyam and Raju in English and Science is 38.5

Ghanshyam and Raju got their marks(out of 50 marks) in 4 subjects i.e English, Science, Maths and Social. The avg marks obtained by Raju is 38. The ratio of marks obtained by Raju and Ghanshyam in Maths is 5 ∶ 6 and the average marks obtained by Ghanshyam is 41. If the marks scored by both of them in English and Science is same and in Social Raju got 5 marks less than Ghanshyam. What is the marks scored by them in English and Science if Raju scored 40 marks in Social?1. 422. 36.53. 38.54. 405. 32.5

Answer» Correct Answer - Option 3 : 38.5

Total marks scored by Raju = 38 × 4 = 152

Total marks scored by Ghanshyam = 41 × 4 = 164

Ratio of marks obtained by Raju and Ghanshyam in Maths = 5 ∶ 6

⇒ Let the marks obtained by Raju and Ghanshyam in Maths be 5x and 6x

Marks scored by Raju in Social = 40

Marks scored by Ghanshyam in Social = 45

Let the marks scored by them in English and Science = y

∴ The difference in marks scored by them

⇒ (6x + y + y + 45) – (5x + y + y + 40) = 164 – 152

⇒ x = 7

∴ Marks scored by Raju in Maths = 7 × 5 = 35

∴ Marks obtained by Raju in English and Science

⇒ y + y = 152 – 40 – 35 = 77

⇒ y = 77/2 = 38.5

∴ The marks scored by Ghanshyam and Raju in English and Science is 38.5