Question

Disha scored 15 marks in a test of 20 marks and Dhanya scored 18 marks in a test of 25 marks. Then the difference between the percentage scored by Disha and Dhanya is

• A. 2%
• B. 3%
• C. 4%
• D. 5%

Answer 1

The correct option is B 3%

Disha's score = $\frac{15}{20}$
Dhanya's score = $\frac{18}{25}$
Here, we see that the denominator is not a hundred in both the cases.
Percentages are numerators of fractions with denominator 100.
Hence, to compare Disha's and Dhanya's scores we need to convert these fractions to equivalent fractions with denominator 100.
$\frac{15}{20}=\frac{15}{20}\times \frac{5}{5}=\frac{75}{100}=75\%$
$\frac{18}{25}=\frac{18}{25}\times \frac{4}{4}=\frac{72}{100}=72\%$

Hence, Disha scored a higher percentage and the difference between the percentage scored by Disha and Dhanya is 3%.