Rahul got $45$ marks and Ritu got $40$ marks out of $50$ in a mathematics test. Find the difference between their percentage marks.

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Solution

Step 1: Find the percentage of Rahul
We have
Rahul got out of $50 = 45$ marks
So, the percentage of Rahul $= \frac{m a r k s o b t a i n e d}{t o t a l m a r k s} \times 100 %$
$= \frac{45}{50} \times 100 = 45 \times 2 = 90 %$
Thus, the percentage of Rahul $= 90 %$
Step 2: Find the percentage of Ritu
We have
Ritu got out of $50 = 40$ marks
So, the percentage of Ritu $= \frac{m a r k s o b t a i n e d}{t o t a l m a r k s} \times 100 %$
$= \frac{40}{50} \times 100 = 40 \times 2 = 80 %$
Thus, the percentage of Ritu $= 80 %$
Step 3: Find the difference between their percentage marks
Since the percentage of Rahul $= 90 %$ and the percentage of Ritu $= 80 %$
Therefore, difference $= 90 % - 80 % = 10 %$
Hence, the differences between their percentage marks is $= 10 %$

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