In a test, the minimum passing percentage for girls and boys is 33% and 42% respectively. A girl scored 434 marks and failed with 61 marks. What are the minimum passing marks for boys?a)625b)620c)600d)630e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

To find the minimum passing marks for boys, we need to use the given passing percentages for girls and boys.

Let's assume the total marks for the test is 'T'.

The passing percentage for girls is 33%, which means a girl needs to score at least 33% of the total marks to pass the test. So, the minimum passing marks for girls can be calculated as:

Minimum Passing Marks for Girls = 33% of T = (33/100) * T

We are given that a girl scored 434 marks and failed with 61 marks. So, the equation can be written as:

434 = (33/100) * T - 61

Simplifying this equation, we get:

(33/100) * T = 434 + 61
(33/100) * T = 495

Now, let's find the minimum passing marks for boys. The passing percentage for boys is 42%, which means a boy needs to score at least 42% of the total marks to pass the test. So, the minimum passing marks for boys can be calculated as:

Minimum Passing Marks for Boys = 42% of T = (42/100) * T

To find the value of T, we can divide both sides of the equation by (33/100):

T = (495) / (33/100)
T = (495) * (100/33)
T ≈ 1500

Now, substitute the value of T into the formula for the minimum passing marks for boys:

Minimum Passing Marks for Boys = (42/100) * 1500
Minimum Passing Marks for Boys = 630

Therefore, the minimum passing marks for boys is 630, which corresponds to option 'D'.

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