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In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: Vinay secured 92.5% marks in an examination comprising of 5 subjects each of 120 marks. He scored 95% marks in English and Hindi together, while 90% marks in Mathematics. In Science, if he scored one marks more than Social studies, how many marks did he scored in Science? Quantity B: Ashi scored 75%, 80% and 90% marks in Physics, Chemistry and Mathematics sections respectively, in an examination of total 150 marks. If the Physics and Chemistry sections are worth 40% and 20% of the total marks, how many marks did Ashi secured in the examination? 

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: Vinay secured 92.5% marks in an examination comprising of 5 subjects each of 120 marks. He scored 95% marks in English and Hindi together, while 90% marks in Mathematics. In Science, if he scored one marks more than Social studies, how many marks did he scored in Science? Quantity B: Ashi scored 75%, 80% and 90% marks in Physics, Chemistry and Mathematics sections respectively, in an examination of total 150 marks. If the Physics and Chemistry sections are worth 40% and 20% of the total marks, how many marks did Ashi secured in the examination?  Correct Answer Quantity A < Quantity B

Quantity A:

Total marks in examination = 5 × 120 = 600

Total marks secured = 92.5% of 600 = 555

As one subject is of 120 marks,

Marks secured in English & Hindi together = 95% of (120 + 120) = 0.95 × 240 = 228

Marks secured in Mathematics = 90% of 120 = 108

Let marks secured in Science be ‘x’

Marks secured in Science & Social studies together = x + x - 1 = 2x - 1

⇒ 2x - 1 = 555 - (228 + 108)

⇒ 2x = 219 + 1

⇒ x = 220/2 = 110

⇒ Quantity A = 110

Quantity B:

Total marks of Physics section = 40% of 150 = 60

Total marks of Chemistry section = 20% of 150 = 30

Total marks of Mathematics section = 150 - (60 + 30) = 60

Marks secured in Physics = 75% of 60 = 45

Marks secured in Chemistry = 80% of 30 = 24

Marks secured in Mathematics = 90% of 60 = 54

Total marks secured in examination = 45 + 24 + 54 = 123

⇒ Quantity B = 123

∴ Quantity A < Quantity B

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