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

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 25 Jun, 2024 Shift 1)
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  1. 5
  2. 6.5
  3. 6
  4. 5.5

Answer (Detailed Solution Below)

Option 2 : 6.5
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Detailed Solution

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Given:

Weight ratio of Paper A : Paper B = 2 : 1

Riddhi's score in Paper B = 8 out of 10

Overall percentage = 70%

Calculation:

Weight ratio of Paper A : Paper B = 2 : 1

Maximum score in Paper B = 10

So, the maximum score in Paper A = 20

Overall obtained score = 70% of 30 = 70/100 × 30 = 21

Now,

Score in Paper A out of 20 = overall score - Score in Paper B = 21 - 8 = 13

So, the Score in Paper A out of 10 = 13/2 = 6.5

∴ The correct answer is option (2).

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