Question

If 45% of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the number of non-AC cars?

• A. 380
• B. 240
• C. 220
• D. 180
• A. 4.67%
• B. 9.23%
• C. 3.33%
• D. 6.67%
• A. 7:3
• B. 3:7
• C. 7:4
• D. 4:7
• A. 19.37%
• B. 18.37%
• C. 18.73%
• D. 19.57%
• A. 350
• B. 400
• C. 500
• D. 550
• A. 810
• B. 862.5
• C. 886
• D. 912.5

Answer 1

The Correct Option is C

Step 1: Understanding the data:
- Total number of cars for which data was collected = 8000.
- State 4 has 35% of the total cars, so number of cars in State 4 = 0.35 × 8000 = 2800.
- The ratio of diesel, petrol, and electric cars in State 4 is 7:5:2.

Step 2: Calculating the number of electric cars in State 4:
- Total parts in the ratio = 7 + 5 + 2 = 14 parts.
- Electric cars in State 4 = (2 parts / 14 parts) × 2800 = (2/14) × 2800 = 400.

Step 3: Finding the number of non-AC electric cars:
- 45% of the electric cars in State 4 are air conditioned (AC), so number of AC electric cars = 45% of 400 = 0.45 × 400 = 180.
- The remaining electric cars are non-AC, so number of non-AC electric cars = 400 - 180 = 220.

Step 4: Conclusion:
The number of non-AC electric cars in State 4 is 220.

Answer 2

Step 1: Understanding the data:
- Total number of cars for which data was collected = 8000.
- State 1 has 15% of the total cars, so number of cars in State 1 = 0.15 × 8000 = 1200.
- The ratio of diesel, petrol, and electric cars in State 1 is 3:4:1.

Step 2: Calculating the number of diesel and petrol cars in State 1:
- Total parts in the ratio = 3 + 4 + 1 = 8 parts.
- Diesel cars in State 1 = (3 parts / 8 parts) × 1200 = (3/8) × 1200 = 450.
- Petrol cars in State 1 = (4 parts / 8 parts) × 1200 = (4/8) × 1200 = 600.

Step 3: Calculating the number of petrol cars in State 2:
- State 2 has 20% of the total cars, so number of cars in State 2 = 0.20 × 8000 = 1600.
- The ratio of diesel, petrol, and electric cars in State 2 is 5:3:2.
- Total parts in the ratio = 5 + 3 + 2 = 10 parts.
- Petrol cars in State 2 = (3 parts / 10 parts) × 1600 = (3/10) × 1600 = 480.

Step 4: Finding the percentage difference:
- The number of petrol cars in State 2 = 480.
- The number of diesel cars in State 1 = 450.
- Percentage difference = \(\frac{\text{Difference}}{\text{Number of diesel cars in State 1}} \times 100\) = \(\frac{480 - 450}{450} \times 100\) = \(\frac{30}{450} \times 100 = 6.67\%\).

Step 5: Conclusion:
The number of petrol cars in State 2 is 6.67% more than the number of diesel cars in State 1.

Answer 3

Step 1: Understanding the data:
- Total number of cars for which data was collected = 8000.
- State 4 has 35% of the total cars, so number of cars in State 4 = 0.35 × 8000 = 2800.
- The ratio of diesel, petrol, and electric cars in State 4 is 7:5:2.

Step 2: Calculating the number of diesel and electric cars in State 4:
- Total parts in the ratio = 7 + 5 + 2 = 14 parts.
- Diesel cars in State 4 = (7 parts / 14 parts) × 2800 = (7/14) × 2800 = 1400.
- Electric cars in State 4 = (2 parts / 14 parts) × 2800 = (2/14) × 2800 = 400.

Step 3: Calculating the number of electric cars in State 3:
- State 3 has 30% of the total cars, so number of cars in State 3 = 0.30 × 8000 = 2400.
- The ratio of diesel, petrol, and electric cars in State 3 is 4:5:3.
- Total parts in the ratio = 4 + 5 + 3 = 12 parts.
- Electric cars in State 3 = (3 parts / 12 parts) × 2400 = (3/12) × 2400 = 600.

Step 4: Finding the ratio of diesel cars in State 4 to electric cars in State 3:
The ratio of diesel cars in State 4 to electric cars in State 3 = 1400 : 600 = 7 : 3.

Step 5: Conclusion:
The ratio of diesel cars in State 4 to electric cars in State 3 is 7:3.

Answer 4

Step 1: Understanding the data:
- Total number of cars for which data was collected = 8000.
- State 1 has 15% of the total cars, State 2 has 20%, State 3 has 30%, and State 4 has 35%.
- The ratio of electric cars in the different states: - State 1: 1 part (electric) out of 8 parts (diesel, petrol, and electric) = 1/8. - State 2: 2 parts (electric) out of 10 parts = 2/10. - State 3: 3 parts (electric) out of 12 parts = 3/12. - State 4: 2 parts (electric) out of 14 parts = 2/14.

Step 2: Calculating the number of electric cars in each state:
- State 1: Electric cars = (1/8) × (15% of 8000) = (1/8) × 1200 = 150.
- State 2: Electric cars = (2/10) × (20% of 8000) = (2/10) × 1600 = 320.
- State 3: Electric cars = (3/12) × (30% of 8000) = (3/12) × 2400 = 600.
- State 4: Electric cars = (2/14) × (35% of 8000) = (2/14) × 2800 = 400.

Step 3: Calculating the total number of electric cars:
Total electric cars = 150 (State 1) + 320 (State 2) + 600 (State 3) + 400 (State 4) = 1470.

Step 4: Calculating the percentage of total electric cars to total cars:
The percentage is calculated as follows:
\[ \text{Percentage} = \left( \frac{\text{Total electric cars}}{\text{Total cars}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{1470}{8000} \right) \times 100 = 18.375\% \approx 18.37\% \]

Step 5: Conclusion:
The percentage of total electric cars to total cars in all the states is 18.37%.

Answer 5

Step 1: Understanding the data:
- Total number of cars for which data was collected = 8000.
- State 1 has 15% of the total cars, State 2 has 20%, State 3 has 30%, and State 4 has 35%.
- The ratio of diesel, petrol, and electric cars in State 1 is 3:4:1.
- The ratio of diesel, petrol, and electric cars in State 3 is 4:5:3.

Step 2: Calculating the number of petrol and diesel cars in State 1 and State 3:
- State 1: - Total cars in State 1 = 15% of 8000 = 1200.
- Total parts in the ratio = 3 + 4 + 1 = 8 parts.
- Diesel cars in State 1 = (3/8) × 1200 = 450.
- Petrol cars in State 1 = (4/8) × 1200 = 600.

- State 3: - Total cars in State 3 = 30% of 8000 = 2400.
- Total parts in the ratio = 4 + 5 + 3 = 12 parts.
- Petrol cars in State 3 = (5/12) × 2400 = 1000.
- Diesel cars in State 3 = (4/12) × 2400 = 800.

Step 3: Calculating the difference:
- The number of petrol cars in State 3 = 1000.
- The number of diesel cars in State 1 = 450.
- The difference between the number of petrol cars in State 3 and diesel cars in State 1 = 1000 - 450 = 550.

Step 4: Conclusion:
The difference between the number of petrol cars in State 3 and diesel cars in State 1 is 550.

Answer 6

Step 1: Understanding the data:
- Total number of cars for which data was collected = 8000.
- State 1 has 15% of the total cars, State 2 has 20%, State 3 has 30%, and State 4 has 35%.
- The ratio of diesel, petrol, and electric cars in the states: - State 1: 3:4:1 (diesel, petrol, electric). - State 2: 5:3:2 (diesel, petrol, electric). - State 3: 4:5:3 (diesel, petrol, electric). - State 4: 7:5:2 (diesel, petrol, electric).

Step 2: Calculating the number of diesel cars in each state:
- State 1: - Total cars in State 1 = 15% of 8000 = 1200.
- Total parts in the ratio = 3 + 4 + 1 = 8 parts.
- Diesel cars in State 1 = (3/8) × 1200 = 450.

- State 2: - Total cars in State 2 = 20% of 8000 = 1600.
- Total parts in the ratio = 5 + 3 + 2 = 10 parts.
- Diesel cars in State 2 = (5/10) × 1600 = 800.

- State 3: - Total cars in State 3 = 30% of 8000 = 2400.
- Total parts in the ratio = 4 + 5 + 3 = 12 parts.
- Diesel cars in State 3 = (4/12) × 2400 = 800.

- State 4: - Total cars in State 4 = 35% of 8000 = 2800.
- Total parts in the ratio = 7 + 5 + 2 = 14 parts.
- Diesel cars in State 4 = (7/14) × 2800 = 1400.

Step 3: Calculating the total number of diesel cars:
Total diesel cars = 450 (State 1) + 800 (State 2) + 800 (State 3) + 1400 (State 4) = 3450.

Step 4: Calculating the average number of diesel cars:
Average number of diesel cars = Total diesel cars / 4 (number of states) = 3450 / 4 = 862.5.

Step 5: Conclusion:
The average number of diesel cars in all the states is 862.5.