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%

Show Answer

Correct Answer :

Option A

86.67%

86.67%

Solution :

To solve the problem, we need to find the total number of petrol vehicles manufactured by company E and the total number of diesel vehicles manufactured by company D, and then calculate the percentage difference between them.

1. Understanding the Variables and Formulas:
Let the total number of vehicles (Petrol + Diesel + EV) manufactured by any company be T.
Let the percentage of petrol vehicles manufactured out of the total vehicles be p%.
Let the percentage of diesel vehicles manufactured out of the petrol vehicles be d%.
Thus, we can express the number of petrol and diesel vehicles as:
Petrol vehicles (P) = p100×T
Diesel vehicles (D) = d100×P=d100×p100×T
The total number of vehicles is the sum of Petrol, Diesel, and EV:
T=P+D+EV

2. Calculating Diesel Vehicles Manufactured by D:
For Company D:
Total EV manufactured = 300
Percentage of petrol vehicles (p) = 25%
Percentage of diesel vehicles out of petrol vehicles (d) = 60%
Let the total vehicles for D be TD.
Petrol vehicles (PD) = 0.25TD
Diesel vehicles (DD) = 60% of PD=0.60×0.25TD=0.15TD
Since TD=PD+DD+EVD:
TD=0.25TD+0.15TD+300
TD=0.40TD+300
0.60TD=300
TD=3000.60=500
Now, find the number of diesel vehicles manufactured by D:
DD=0.15×500=75

3. Calculating Petrol Vehicles Manufactured by E:
For Company E:
Total EV manufactured = 28
Percentage of petrol vehicles (p) = 50%
Percentage of diesel vehicles out of petrol vehicles (d) = 80%
Let the total vehicles for E be TE.
Petrol vehicles (PE) = 0.50TE
Diesel vehicles (DE) = 80% of PE=0.80×0.50TE=0.40TE
Since TE=PE+DE+EVE:
TE=0.50TE+0.40TE+28
TE=0.90TE+28
0.10TE=28
TE=280.10=280
Now, find the number of petrol vehicles manufactured by E:
PE=0.50×280=140

4. Calculating the Percentage Difference:
We need to find what percentage more or less the petrol vehicles of E (140) is compared to the diesel vehicles of D (75).
Since 140 is greater than 75, it is more. The percentage difference is calculated as:
Percentage More=PE-DDDD×100%
Percentage More=140-7575×100%
Percentage More=6575×100%
Percentage More=1315×100%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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