Question: 1.In an examination, a girl gets 35 marks out of 40. Express this result as a percentage.
2. A school football team plays 25 games in a season. They win 17, draw 2 and lose the rest.
Express the numbers won, drawn and lost as percentages of the total number, of games
played.
3. An airline has a fleet of 80 planes. Of these, 10 are being serviced at any one time. What
percentage of the fleet is available for flights?
4. A car manufacturer produces 175000 sports cars a year. They are only available in white,
black and red. 52500 are white, 78750 are black and the rest are red. a) What percentage
of the cars are black? b) What percentage are white? c) What percentage are red?
1. **Problem:** A girl scores 35 marks out of 40. Find the percentage score.
2. **Formula:** Percentage = $$\frac{\text{Part}}{\text{Whole}} \times 100$$
3. **Calculation:**
$$\text{Percentage} = \frac{35}{40} \times 100 = \frac{35 \times 100}{40}$$
4. Simplify the fraction:
$$\frac{35 \times 100}{40} = \frac{\cancel{35} \times 100}{\cancel{40}} = \frac{35 \times 100}{40}$$
Actually, let's simplify by dividing numerator and denominator by 5:
$$\frac{35}{40} = \frac{7}{8}$$
5. Calculate:
$$\frac{7}{8} \times 100 = 7 \times \frac{100}{8} = 7 \times 12.5 = 87.5$$
6. **Answer:** The girl scored **87.5%**.
---
1. **Problem:** A football team plays 25 games: wins 17, draws 2, loses the rest. Find percentages.
2. Total games = 25
3. Wins percentage:
$$\frac{17}{25} \times 100 = 68\%$$
4. Draws percentage:
$$\frac{2}{25} \times 100 = 8\%$$
5. Losses = 25 - (17 + 2) = 6
6. Losses percentage:
$$\frac{6}{25} \times 100 = 24\%$$
7. **Answer:** Wins = 68%, Draws = 8%, Losses = 24%
---
1. **Problem:** An airline has 80 planes, 10 are serviced. Find percentage available.
2. Available planes = 80 - 10 = 70
3. Percentage available:
$$\frac{70}{80} \times 100 = 87.5\%$$
4. **Answer:** 87.5% of the fleet is available for flights.
---
1. **Problem:** A manufacturer produces 175000 cars: 52500 white, 78750 black, rest red.
2. Total cars = 175000
3. Black percentage:
$$\frac{78750}{175000} \times 100 = \frac{78750 \times 100}{175000}$$
Simplify numerator and denominator by dividing by 1750:
$$\frac{78750}{175000} = \frac{45}{100} = 0.45$$
So,
$$0.45 \times 100 = 45\%$$
4. White percentage:
$$\frac{52500}{175000} \times 100 = \frac{52500 \times 100}{175000}$$
Simplify by dividing numerator and denominator by 1750:
$$\frac{52500}{175000} = \frac{30}{100} = 0.3$$
So,
$$0.3 \times 100 = 30\%$$
5. Red cars = 175000 - (52500 + 78750) = 175000 - 131250 = 43750
6. Red percentage:
$$\frac{43750}{175000} \times 100 = \frac{43750 \times 100}{175000}$$
Simplify by dividing numerator and denominator by 1750:
$$\frac{43750}{175000} = \frac{25}{100} = 0.25$$
So,
$$0.25 \times 100 = 25\%$$
7. **Answer:** Black = 45%, White = 30%, Red = 25%