In an examination, there were two papers, A and B, and the maximum mark in each of the two papers was 10. However, the weightage assigned to papers A and B were in the ratio 2 : 1, respectively. Jonathan scored 8 out of 10 in Paper A and an overall 70% in the examination. How much did he score in Paper B out of 10?

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 26 Jun, 2024 Shift 1)
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  1. 5.5
  2. 6.5
  3. 6
  4. 5

Answer (Detailed Solution Below)

Option 4 : 5
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Detailed Solution

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Given:

Maximum marks in each paper = 10

Weightage ratio of Paper A and Paper B = 2:1

Jonathan scored 8 out of 10 in Paper A

Overall percentage = 70%

Formula used:

Total score = 70 / 100 × 30

Contribution from Paper A = 2 × 8

Contribution from Paper B = x

Calculation:

⇒ Total score = 21

⇒ Contribution from Paper A = 16

⇒ 16 + x = 21

⇒ x = 21 - 16 = 5

∴ Jonathan scored 5 out of 10 in Paper B.

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