Answer:
Let the full marks be y.
Then, the statement become : 30 marks is 40 % of y.
to solve for y;
40% of y can be written as \(\frac{40}{100} \times y\)
Then,
from the given condition we have;
\(\frac{40}{100} \times y =30\)
or
\(\frac{4}{10}y =30\)
Multiply both sides by \(\frac{10}{4}\) in above equation;
\(\frac{4}{10}y \times \frac{10}{4} =30 \times \frac{10}{4}\)
Simplify:
\(y= \frac{300}{4}=75\)
Then, the full marks (y) = 75.
Therefore, 30 marks is 40% of 75.
Check:
30 = \(\frac{40}{100} \times 75\)
30 =\(0.4 \times 75\)
30 =30 [True]
