Calculating Akshara's Science Score
The question asks us to find the marks Akshara scored in Science, given her overall percentage across five subjects and her scores in four of those subjects. We know that each subject has a maximum mark of 100.
Understanding the Given Information
Here's what we know:
- Number of subjects: 5 (Hindi, Science, Mathematics, English, Computers)
- Maximum marks per subject: 100
- Overall percentage score: 85%
- Marks in Hindi: 75
- Marks in Computers: 92
- Marks in Mathematics: 89
- Marks in English: 81
- Marks in Science: Unknown
Step-by-Step Calculation
We can solve this by following these steps:
1. Calculate Total Maximum Marks
Since there are 5 subjects and each is out of 100 marks, the total maximum marks possible are:
Total Maximum Marks = Number of Subjects $ \times $ Maximum Marks per Subject
Total Maximum Marks = $ 5 \times 100 = 500 $ marks.
2. Calculate Akshara's Total Score
Akshara scored an overall percentage of 85%. To find her total marks, we calculate 85% of the total maximum marks:
Akshara's Total Score = Overall Percentage $ \times $ Total Maximum Marks
Akshara's Total Score = $ \frac{85}{100} \times 500 $
Akshara's Total Score = $ 0.85 \times 500 = 425 $ marks.
3. Sum the Marks in Known Subjects
Let's add up the marks Akshara scored in Hindi, Computers, Mathematics, and English:
Sum of Known Scores = Marks(Hindi) + Marks(Computers) + Marks(Mathematics) + Marks(English)
Sum of Known Scores = $ 75 + 92 + 89 + 81 $
Sum of Known Scores = 337 marks.
4. Calculate the Marks in Science
The marks Akshara scored in Science is the difference between her total score and the sum of her scores in the other four subjects:
Marks(Science) = Akshara's Total Score - Sum of Known Scores
Marks(Science) = $ 425 - 337 $
Marks(Science) = 88 marks.
Summary of Scores
Here is a summary of Akshara's scores:
| Subject | Maximum Marks | Akshara's Score |
|---|---|---|
| Hindi | 100 | 75 |
| Computers | 100 | 92 |
| Mathematics | 100 | 89 |
| English | 100 | 81 |
| Science | 100 | 88 |
| Total | 500 | 425 |
Akshara scored 88 marks in Science.
Similar Questions
A person, while trading the shares of a particular company, observes that its price has gone down by 10% from the previous day. In anticipation of increment on the next day, he holds it for the next day. But the share price further falls down by another 8% of the previous day. Then he sells his shares and gets ₹12,420. How much could he have saved had he sold it the previous day?
The price of an AC increases and decreases in every alternate year by $1\frac{3}{5}\%$. It started with an increase in 2004. The price of the AC in 2007, as compared to that in 2004 (correct to two places of decimals):
- The monthly income of Reena was ₹75,200 and her monthly expenditure was ₹22,500. Next year, her income increased by 25% and her expenditure by 14%. Find the percentage increase in her savings (rounded off to 2 decimal places).
- If 70 is subtracted from 70% of a number, the remainder is 70. What is the number?
The sum of the two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:
- In a constituency, the total number of people on the electoral roll was 2,75,000. Out of them, 90% cast their votes in an election and 15% of the votes cast were declared invalid. What was the number of valid votes cast?
- In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9,261 votes, which were 75% of the total valid votes. Find the total number of votes.
- The present population of a city is 60,000. If the rate of increase is 10% per year, find the population of the city after 2 years.
- If 23% of 'x' is 46, then 'x' is ________
- A man donates 5% of his monthly income to an orphanage and deposits 20% of the remaining income in a bank. If he is left with Rs.14,250, find his monthly income.
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
