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.
**Formula:** Percentage = $$\frac{\text{Obtained marks}}{\text{Total marks}} \times 100$$
**Step 1:** Substitute values:
$$\frac{35}{40} \times 100$$
**Step 2:** Simplify fraction:
$$\frac{\cancel{35}}{\cancel{40}} \times 100 = \frac{7}{8} \times 100$$
**Step 3:** Calculate:
$$\frac{7}{8} \times 100 = 87.5$$
**Answer:** The girl scored 87.5%.
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2. **Problem:** A football team plays 25 games: wins 17, draws 2, loses the rest. Find percentages.
**Total games:** 25
**Lost games:** $$25 - (17 + 2) = 6$$
**Formula:** Percentage = $$\frac{\text{Number of games}}{\text{Total games}} \times 100$$
**Wins percentage:**
$$\frac{17}{25} \times 100 = 68\%$$
**Draws percentage:**
$$\frac{2}{25} \times 100 = 8\%$$
**Losses percentage:**
$$\frac{6}{25} \times 100 = 24\%$$
**Answer:** Wins 68%, Draws 8%, Losses 24%.
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3. **Problem:** Airline has 80 planes, 10 serviced. Find percentage available.
**Available planes:** $$80 - 10 = 70$$
**Formula:** Percentage = $$\frac{\text{Available}}{\text{Total}} \times 100$$
**Calculation:**
$$\frac{70}{80} \times 100 = 87.5\%$$
**Answer:** 87.5% of planes are available.
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4. **Problem:** Manufacturer produces 175000 cars: 52500 white, 78750 black, rest red. Find percentages.
**Total cars:** 175000
**Red cars:** $$175000 - (52500 + 78750) = 43750$$
**Formula:** Percentage = $$\frac{\text{Number of cars}}{\text{Total cars}} \times 100$$
**a) Black cars percentage:**
$$\frac{78750}{175000} \times 100 = 45\%$$
**b) White cars percentage:**
$$\frac{52500}{175000} \times 100 = 30\%$$
**c) Red cars percentage:**
$$\frac{43750}{175000} \times 100 = 25\%$$
**Answer:** Black 45%, White 30%, Red 25%.