Question

The marks scored by Sudeep in three subjects Mathematics, Physics and Chemistry, are in the ratio 4 : 5 : 6. Sudeep scored an overall aggregate of 60% in the exam. If the maximum marks for each subject are the same, in how many subjects did Sudeep score more than 70% marks?
1. Two
2. Zero
3. Three
4. One

Answer 1

Correct Answer - Option 4 : One

Let maximum marks in a subject be 100.

Total maximum marks in three subjects = 3 × 100 = 300.

Let ratio constant = x

Given that,

Mathematics : Physics : Chemistry = 4 : 5 : 6

Marks in mathematics = 4x

Marks in physics = 5x

Marks in chemistry = 6x

Total marks = 4x + 5x + 6x = 9x + 6x = 15x.

But overall aggregate marks = 60%

60% of 300 = 0.6 × 300 = 180.

So, we can say that :

15x = 180

x = 180/15

x = 12.

Marks in mathematics = 4x = 4 × 12 = 48

Marks in physics = 5x = 5 × 12 = 60

Marks in chemistry = 6x = 6 × 12 = 72.

All  these marks are out of 100 so these can be considered as percentage too.

Clearly,

Sudeep scored more than 70% marks in Chemistry only.

Hence, the correct answer is "One".