Question Details

Read the following table carefully and answer the questions given below.The table shows total number of EV manufactured by five different companies. The table also shows the percentage of petrol vehicles manufactured out of the total vehicles (diesel, EV and Petrol) manufactured and the percentage of diesel vehicles manufactured out of the total petrol vehicles manufactured by these companies.

Companies Total EV manufactured Percentage of petrol vehicles manufactured Percentage of diesel vehicles manufactured
A 64 60% 40%
B 120 40% 25%
C 171 30% 75%
D 300 25% 60%
E 28 50% 80%

The total number of petrol vehicles manufactured by E is what percentage more or less than the total number of diesel vehicles manufactured by D?

Options

A

86.67%

B

43.33%

C

33.33%

D

52.5%

E

72.5%

Show Answer

Correct Answer :

Option A

86.67%

86.67%

Solution :

To find the percentage difference, we need to calculate:
1. The total number of petrol vehicles manufactured by company E.
2. The total number of diesel vehicles manufactured by company D.

Step 1: Calculate the total number of petrol vehicles manufactured by E
Let the total number of vehicles (diesel + EV + petrol) manufactured by company E be TE.
According to the table, the percentage of petrol vehicles manufactured by E is 50% of the total vehicles.
Therefore, the petrol vehicles are:
Petrol=0.50×TE
The percentage of diesel vehicles manufactured by E is given as 80% out of the total petrol vehicles manufactured.
Therefore, the diesel vehicles are:
Diesel=80% of Petrol=0.80×0.50×TE=0.40×TE
We know that:
Total vehicles=EV+Petrol+Diesel
For company E, the total number of EV manufactured is 28. Substituting these values:
TE=28+0.50×TE+0.40×TE
TE=28+0.90×TE
TE-0.90×TE=28
0.10×TE=28
TE=280.10=280
Now, we calculate the total number of petrol vehicles manufactured by E:
Petrol vehicles by E=50% of 280=140

Step 2: Calculate the total number of diesel vehicles manufactured by D
Let the total number of vehicles manufactured by company D be TD.
According to the table, the percentage of petrol vehicles manufactured by D is 25% of the total vehicles.
Therefore, the petrol vehicles are:
Petrol=0.25×TD
The percentage of diesel vehicles manufactured by D is 60% of the total petrol vehicles.
Therefore, the diesel vehicles are:
Diesel=60% of Petrol=0.60×0.25×TD=0.15×TD
We are given that the total number of EV manufactured by D is 300.
Substituting into the total vehicle equation:
TD=300+0.25×TD+0.15×TD
TD=300+0.40×TD
TD-0.40×TD=300
0.60×TD=300
TD=3000.60=500
Now, we calculate the total number of diesel vehicles manufactured by D:
Diesel vehicles by D=15% of 500=75

Step 3: Calculate the percentage difference
We want to find how much percent the petrol vehicles of E (140) is more or less than the diesel vehicles of D (75).
Since 140 is greater than 75, it is more by:
Difference=140-75=65
The percentage difference is calculated as:
Percentage More=6575×100%
Simplifying the fraction:
6575=1315
Percentage More=130015%86.67%

Therefore, the total number of petrol vehicles manufactured by E is 86.67% more than the total number of diesel vehicles manufactured by D.

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