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The ratio of marks obtained by Rohit in Mathematics to the marks obtained in Science is 8 : 7, the marks of English is 10% more than the marks obtained in Science and the marks obtained in Hindi is 10% less than the marks obtained in Mathematics. If each subject is of 100 marks and the sum of marks of English and Hindi is 149, then find the percentage of passing mark where the passing marks is 40 more than the marks obtained by Rohit in Mathematics.

The ratio of marks obtained by Rohit in Mathematics to the marks obtained in Science is 8 : 7, the marks of English is 10% more than the marks obtained in Science and the marks obtained in Hindi is 10% less than the marks obtained in Mathematics. If each subject is of 100 marks and the sum of marks of English and Hindi is 149, then find the percentage of passing mark where the passing marks is 40 more than the marks obtained by Rohit in Mathematics. Correct Answer 30%

Given:

The ratio of marks obtained by Rohit in Mathematics to the marks obtained in Science is 8 : 7

The marks of English is 10% more than the marks obtained in Science

The marks obtained in Hindi is 10% less than the marks obtained in Mathematics

Each subject is of 100 marks

The sum of marks of English and Hindi is 149

The passing marks is 40 more than the marks obtained by Rohit in Mathematics

Calculation:

Let the ratio be x

So, the marks obtained in mathematics and Science are 8x and 7x respectively

So, the marks obtained in English = 7x × 110% = 77x/10

And the marks obtained in Hindi = 8x × 90% = 72x/10

Now according to question,

77x/10 + 72x/10 = 149

⇒ 149x/10 = 149

So, x = 10

So, marks obtained in mathematics = 8 × 10 = 80

So, passing marks = 80 + 40 = 120

And the total marks of the examination = 4 × 100 = 400

So, the percentage of passing marks = 120/400 × 100%

∴ 30%

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