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?

Let the score of Riddhi in Paper A be x out of 10.
The maximum marks for both Paper A and Paper B are 10 each.
The weights for Paper A and Paper B are in the ratio 2:1.

The weighted percentage score can be computed as:

Overall Percentage=
Weight of A+Weight of B
(Percentage in A×Weight of A)+(Percentage in B×Weight of B)
​

Percentage score in Paper B=
10
8
​
×100=80%
Percentage score in Paper A=
10
x
​
×100=10x%
Overall score is given as 70%.

Substituting these values into the weighted average equation:

70=
2+1
(10x×2)+(80×1)
​

70=
3
20x+80
​

210=20x+80
20x=210−80
20x=130
x=
20
130
​
=6.5
Thus, she scored 6.5 marks out of 10 in Paper A.