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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 6.5.
Weights: A : B = 2 : 1
Riddhi's score in B =
Weighted score of B = × 8 =
Overall score = 70% of 10 (weighted total = 10) = 7
Let score in A = x
Weighted score of A = x
Now, according to the question,
⇒ x + = 7
⇒ 2x + 8 = 21
⇒ 2x = 13
⇒ x = 6.5