Sure, let's tackle the question step-by-step.
### Question 7
Priya got 18 marks out of 25 marks in History and 14 marks out of 20 marks in Economics. In which subject did she perform better?
To determine which subject Priya performed better in, we need to calculate the percentage of marks obtained in each subject.
#### Step-by-Step Solution
1. Calculate the percentage of marks obtained in History:
[tex]\[
\text{Percentage in History} = \left( \frac{\text{Marks obtained in History}}{\text{Total marks in History}} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage in History} = \left( \frac{18}{25} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage in History} = 72\%
\][/tex]
2. Calculate the percentage of marks obtained in Economics:
[tex]\[
\text{Percentage in Economics} = \left( \frac{\text{Marks obtained in Economics}}{\text{Total marks in Economics}} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage in Economics} = \left( \frac{14}{20} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage in Economics} = 70\%
\][/tex]
3. Compare the percentages:
- History: 72%
- Economics: 70%
Since 72% in History is higher than 70% in Economics, Priya performed better in History.
### Question 8
A black car takes [tex]$\frac{2}{3}$[/tex] of an hour to cover the distance between Ghaziabad and Meerut.
Unfortunately, the rest of the question is missing. If you provide the complete question, I can help you solve it. But from the given information, we can make note of the following:
- The car's travel time from Ghaziabad to Meerut is [tex]$\frac{2}{3}$[/tex] of an hour or approximately 40 minutes.
To fully answer the question, please complete the statement provided.
