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

E

3:4

Show Answer

Correct Answer :

Option B

1:3

1:3

Solution :

The correct option is 1:3.

Let us break down the calculations step-by-step to find the required ratio.

Step 1: Find the total number of vehicles manufactured by Company C
Let the total number of vehicles (diesel, EV, and petrol) manufactured by Company C be represented by TC.
From the table, for Company C:
- Percentage of petrol vehicles manufactured = 30% of TC
- Percentage of diesel vehicles manufactured = 75% of the petrol vehicles manufactured = 75% of (30% of TC)

Let us calculate the percentage of diesel vehicles out of the total vehicles:
Percentage of diesel vehicles=0.75×30%=22.5%
Since the total percentage of all three vehicle types (petrol, diesel, and EV) must equal 100%, we can find the percentage of EVs manufactured by Company C:
Percentage of EVs=100%-(30%+22.5%)=100%-52.5%=47.5%

According to the table, the actual number of EVs manufactured by Company C is 171. Therefore:
47.5% of TC=171
0.475×TC=171
TC=1710.475=360
So, the total number of vehicles manufactured by Company C is 360.

Step 2: Find the total number of EVs manufactured by Company B
From the table, the total number of EVs manufactured by Company B is directly given as 120.

Step 3: Calculate the ratio
Comparing the quantities to find the ratio as specified by the correct option:
Ratio=EVs of BTotal vehicles of C=120360=13
Thus, the required ratio is 1:3.

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