Question Details

The total number of EV and petrol cars sold by A is how many more or less than the half of the total number of petrol cars sold by B and D.

Read the following table carefully and answer the questions given below. The table shows the total number of cars (EV, Diesel and petrol) sold and the percentage of EV cars sold out of the total cars sold by four different companies. The table also shows the difference between the petrol and diesel cars sold by these four companies.

Note: Petrol cars sold are more than the diesel cars sold by each company .

Companies Total number of cars sold Percentage of EV cars sold Difference between the petrol and the diesel cars sold
A 400 25% 70
B 550 10% 85
C 360 30% 52
D 280 15% 102

Options

A

55

B

40

C

60

D

50

Show Answer

Correct Answer :

Option A

55

Solution :

The correct answer is 55.

Let us find the number of EV, petrol, and diesel cars sold by each relevant company step-by-step.

1. Calculations for Company A:
Total number of cars sold by A = 400
Percentage of EV cars sold by A = 25%
Number of EV cars sold by A =
400 × 25 100 = 100
Total number of (Petrol + Diesel) cars sold by A =
400 - 100 = 300
We are given that the difference between petrol and diesel cars sold by A is 70, and petrol cars sold are more than diesel cars. Therefore:
Petrol + Diesel = 300
Petrol - Diesel = 70
Adding both equations:
2 × Petrol = 370
Petrol cars sold by A = 370 2 = 185
Total number of EV and petrol cars sold by A =
100 + 185 = 285

2. Calculations for Company B:
Total number of cars sold by B = 550
Percentage of EV cars sold by B = 10%
Number of EV cars sold by B =
550 × 10 100 = 55
Total number of (Petrol + Diesel) cars sold by B =
550 - 55 = 495
Given the difference between petrol and diesel cars sold by B is 85:
Petrol + Diesel = 495
Petrol - Diesel = 85
Adding both equations:
2 × Petrol = 580
Petrol cars sold by B = 580 2 = 290

3. Calculations for Company D:
Total number of cars sold by D = 280
Percentage of EV cars sold by D = 15%
Number of EV cars sold by D =
280 × 15 100 = 42
Total number of (Petrol + Diesel) cars sold by D =
280 - 42 = 238
Given the difference between petrol and diesel cars sold by D is 102:
Petrol + Diesel = 238
Petrol - Diesel = 102
Adding both equations:
2 × Petrol = 340
Petrol cars sold by D = 340 2 = 170

4. Calculating the Final Answer:
Total petrol cars sold by B and D =
290 + 170 = 460
Half of the total petrol cars sold by B and D =
460 2 = 230
Difference between the total number of EV and petrol cars sold by A (285) and half of the petrol cars sold by B and D (230) =
285 - 230 = 55
Thus, the total number of EV and petrol cars sold by A is 55 more than half of the total number of petrol cars sold by B and D.

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