Question

prachi scored 324 out of 450 marks. Amita scored 375 out of 500 marks. Who scored more and by how much per cent ?​

Answer 1

Step-by-step explanation:

score of amita% > score of prachi%. therefore, Amita score more by 3%.

Answer 2

Answer:

Prachi scored

$= \frac{324}{450}$

Amita scored

$= \frac{375}{500}$

To find: Who scored more and by how much percent.

• For finding this, we need to multiply the given marks (in fractions) by 100%
• From the required answers we can easily compare both of them.
• To find by how much, we need to subtract the lower score from the higher score.

1. Converting the scores into percentage

Solution:

Prachi's score

$= \frac{324}{450} \times 100\% \\ = (39 \times 2)\% \\ = 78\%$

Hence, Prachi scored 78%

Amita's score

$= \frac{375}{500} \times 100\% \\ = 75\%$

Hence, Amita scored 75%

1) Finding who scored more

Solution:

Prachi's score = 78%

Amita's score = 75%

We know that:

$78 > 75$

So,

$78\% > 75\%$

Thus, Prachi scored more.

3) Finding by how much percentange Prachi scored more

Solution:

$(78 - 75)\% \\ = 3\%$

Hence, Prachi scored more by 3%