Question

If a student scores 15% and fails by 70marks, while another student who scores 45% marks gets 50 marks
more than minimum required marks to pass the examination, what are the minimum marks to pass
examination?
150
130​

Answer 1

Answer:

130

Have a good day..............

Answer 2

Given:

If a student scores 15% and fails by 70marks

While another student who scores 45% marks gets 50 marks  more than minimum required marks to pass the examination,

To find:

What are the minimum marks to pass  examination?

Solution:

Let's assume "x" represents the maximum marks.

So, according to the question, we can form the equation as:

$[15\% \:of \:maximum\:marks ]\:+\:70 = [45\% \:of \:maximum\:marks] \:-\:50$

$\implies [\frac{15}{100}\times x] + 70 = [\frac{45}{100}\times x ] - 50$

$\implies 0.15x + 70 = 0.45x - 50$

$\implies 0.45x - 0.15x = 70 + 50$

$\implies 0.30x = 120$

$\implies x = \frac{120}{0.30}$

$\implies \bold{x = 400}$ ← maximum marks

Now,

The minimum passing marks will be,

= $[\frac{15}{100} \times x] + 70$

substituting x = 400, we get

= $[\frac{15}{100}\times 400] + 70$

= $[15 \times 4] + 70$

= $60 + 70$

= $\bold{130}$

Thus, the minimum marks to pass the examination is → 130.

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