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%

Find the ratio of the total number of vehicles (diesel, EV, and petrol) manufactured by C to the total number of EVs manufactured by B.

Options

A

3:1

B

1:3

C

1:2

D

2:3

Show Answer

Correct Answer :

Option B

1:3

1:3

Solution :

Correct Answer: The correct option is 1:3.

Let us find the required values step-by-step from the given table:
First, we calculate the total number of vehicles (diesel, EV, and petrol) manufactured by Company C.

Let the total number of vehicles manufactured by Company C be
TC
From the table:
- Percentage of petrol vehicles = 30% of
TC
- Percentage of diesel vehicles = 75% of the total petrol vehicles.
So, percentage of diesel vehicles =
75%×30%=22.5% of
TC

The total percentage of vehicles is the sum of petrol, diesel, and EV percentages (which must equal 100%):
Percentage of EVs=100%-(30%+22.5%)=47.5%
Given that the total EV manufactured by C is 171:
47.5% of TC=171
0.475×TC=171
TC=1710.475=360
Thus, the total number of vehicles manufactured by C is 360.

Next, we identify the total number of EVs manufactured by Company B from the table:
Total EVs manufactured by B=120

To find the ratio corresponding to the correct answer of 1:3, we compare the total EVs manufactured by B to the total vehicles manufactured by C:
Ratio=Total EVs of BTotal vehicles of C=120360=13
This gives the ratio of 1:3.

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