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 vehicles (diesel, EV, and petrol) manufactured by A is how many more or less than the total number of diesel vehicles manufactured C, D and B together.

Options

A

500

B

220

C

390

D

420

E

250

Show Answer

Correct Answer :

Option B

220

220

Solution :

To find the required difference, let us first understand how the number of vehicles is distributed for each company.
Let T be the total number of vehicles (Diesel + EV + Petrol) manufactured by a company.
Let P be the number of petrol vehicles manufactured.
Let D be the number of diesel vehicles manufactured.
Let E be the number of EV manufactured (given in the table).

Based on the table description:
1. Petrol vehicles (P) are a given percentage of the total vehicles (T).
2. Diesel vehicles (D) are a given percentage of the petrol vehicles (P).
Therefore, we can express the total number of vehicles as:

T=D+E+P

Let us calculate the values for the relevant companies (A, B, C, and D) step-by-step:

1. Company A:
Total EV manufactured (E) = 64
Percentage of petrol vehicles = 60% of T ⇒ P=0.60T
Percentage of diesel vehicles = 40% of petrol vehicles ⇒ D=0.40×P=0.40×0.60T=0.24T
Now, substitute these into the total equation:

T=0.24T+64+0.60T

T=0.84T+64

0.16T=64

T=640.16=400

Thus, the total number of vehicles manufactured by A is 400.

2. Company B:
Total EV manufactured (E) = 120
Percentage of petrol vehicles = 40% of T ⇒ P=0.40T
Percentage of diesel vehicles = 25% of petrol vehicles ⇒ D=0.25×P=0.25×0.40T=0.10T
Now, substitute these into the total equation:

T=0.10T+120+0.40T

T=0.50T+120

0.50T=120

T=240

Now, we can find the diesel vehicles manufactured by B:

DB=0.10×240=24

3. Company C:
Total EV manufactured (E) = 171
Percentage of petrol vehicles = 30% of T ⇒ P=0.30T
Percentage of diesel vehicles = 75% of petrol vehicles ⇒ D=0.75×P=0.75×0.30T=0.225T
Now, substitute these into the total equation:

T=0.225T+171+0.30T

T=0.525T+171

0.475T=171

T=1710.475=360

Now, we can find the diesel vehicles manufactured by C:

DC=0.225×360=81

4. Company D:
Total EV manufactured (E) = 300
Percentage of petrol vehicles = 25% of T ⇒ P=0.25T
Percentage of diesel vehicles = 60% of petrol vehicles ⇒ D=0.60×P=0.60×0.25T=0.15T
Now, substitute these into the total equation:

T=0.15T+300+0.25T

T=0.40T+300

0.60T=300

T=500

Now, we can find the diesel vehicles manufactured by D:

DD=0.15×500=75

Calculating the final value:
Total vehicles manufactured by A = 400.
Total diesel vehicles manufactured by C, D, and B together = DC+DD+DB=81+75+24=180.
Difference = 400-180=220.

Therefore, the total number of vehicles manufactured by A is 220 more than the total number of diesel vehicles manufactured by C, D, and B together.

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