Question

In an examination A scored 130 marks which is 10 marks above 40% of the total marks while,B scored 75% marks . write the marks secured by B

Answer 1

Given:

In an examination A scored 130 marks which is 10 marks above 40% of the total marks while B scored 75% marks.

To find:

The marks secured by B

Solution:

Let's assume "x" represents the total marks

The marks scored by A = 130

According to the question, we get

Marks scored by A = 10 + 40% of total marks

⇒ $130 = 10 + (\frac{40}{100}\times x )$

⇒ $130 -10 = (\frac{40}{100}\times x )$

⇒ $120 = \frac{40}{100}\times x$

⇒ $3 = \frac{1}{100}\times x$

⇒ $\bold{x = 300}$ ← total marks

Now,

The percentage of marks scored by B = 75%

∴ The marks secured by B is,

= 75% of total marks

= 75% of x

= $\frac{75}{100} \times 300$

= $75 \times 3$

= $\bold{225}$

Thus, the marks secured by B is → 225.

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