In an examination, the ratio of practical to theory marks is 3:7. If 80% of the marks are scored in the practical and 60% of marks are scored in the theory, what is the ratio of marks scored in the theory and the practical?

Let the maximum marks for practical and theory be 300 and 700 respectively (maintaining the ratio 3:7).
Calculate marks scored:

Marks scored in Practical =80% of 300=
100
80
​
×300=240

Marks scored in Theory =60% of 700=
100
60
​
×700=420

Find the ratio of marks scored in theory to practical:

Ratio=
Practical Marks Scored
Theory Marks Scored
​
=
240
420
​
=
24
42
​
=
4
7
​

Hence, the required ratio is 7:4.