Mindyard | 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 F is 25% more than that of D, and the total number of petrol vehicles manufactured by F is half that of C. If the ratio of the total number of diesel vehicles manufactured by B to F is 12:19, respectively, then find the total number of EVs manufactured in F. 509, 452, 398, 456, 533

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 F is 25% more than that of D, and the total number of petrol vehicles manufactured by F is half that of C. If the ratio of the total number of diesel vehicles manufactured by B to F is 12:19, respectively, then find the total number of EVs manufactured in F.

Options

509

452

398

456

533

Correct Answer :

Option E

533

Solution :

The correct option is 533.

Let us break down the calculations step-by-step.
Let the total number of vehicles (diesel + EV + petrol) manufactured by any company be $T$ , the number of petrol vehicles be $P$ , the number of diesel vehicles be $D$ , and the number of EVs be $EV$ .

From the given definitions:

$P = (Percentage of petrol vehicles) \times T$

$D = (Percentage of diesel vehicles) \times P$

$T = D + EV + P$

Step 1: Calculate the total vehicles manufactured by Company D ( $T_{D}$ )
For company D, the number of EVs manufactured (

{EV}_{D}

) is 300.
The percentage of petrol vehicles manufactured is 25% of

T_{D}

$P_{D} = 0.25 T_{D}$

The percentage of diesel vehicles manufactured out of the total petrol vehicles is 60%:

$D_{D} = 0.60 \times P_{D} = 0.60 \times 0.25 T_{D} = 0.15 T_{D}$

Since

T_{D} = D_{D} + {EV}_{D} + P_{D}

$T_{D} = 0.15 T_{D} + 300 + 0.25 T_{D}$

$T_{D} = 0.40 T_{D} + 300$

$0.60 T_{D} = 300 \Rightarrow T_{D} = 500$

Step 2: Calculate the petrol vehicles manufactured by Company C ( $P_{C}$ )
For company C, the number of EVs manufactured (

{EV}_{C}

) is 171.
The percentage of petrol vehicles is 30% of

T_{C}

$P_{C} = 0.30 T_{C}$

The percentage of diesel vehicles is 75% of

P_{C}

$D_{C} = 0.75 \times 0.30 T_{C} = 0.225 T_{C}$

Using

T_{C} = D_{C} + {EV}_{C} + P_{C}

$T_{C} = 0.225 T_{C} + 171 + 0.30 T_{C}$

$T_{C} = 0.525 T_{C} + 171$

$0.475 T_{C} = 171 \Rightarrow T_{C} = 360$

Now we calculate

P_{C}

$P_{C} = 0.30 \times 360 = 108$

Step 3: Calculate the diesel vehicles manufactured by Company B ( $D_{B}$ )
For company B, the number of EVs manufactured (

{EV}_{B}

) is 120.
The percentage of petrol vehicles is 40% of

T_{B}

$P_{B} = 0.40 T_{B}$

The percentage of diesel vehicles is 25% of

P_{B}

$D_{B} = 0.25 \times 0.40 T_{B} = 0.10 T_{B}$

Using

T_{B} = D_{B} + {EV}_{B} + P_{B}

$T_{B} = 0.10 T_{B} + 120 + 0.40 T_{B}$

$T_{B} = 0.50 T_{B} + 120$

$0.50 T_{B} = 120 \Rightarrow T_{B} = 240$

Now we calculate

D_{B}

$D_{B} = 0.10 \times 240 = 24$

Step 4: Find the vehicle statistics for Company F
1. The total number of vehicles manufactured by F (

T_{F}

) is 25% more than that of D:

$T_{F} = T_{D} \times 1.25 = 500 \times 1.25 = 625$

2. The total number of petrol vehicles manufactured by F (

P_{F}

) is half that of C:

$P_{F} = \frac{P_{C}}{2} = \frac{108}{2} = 54$

3. The ratio of diesel vehicles of B to F is 12:19:

$\frac{D_{B}}{D_{F}} = \frac{12}{19}$

$\frac{24}{D_{F}} = \frac{12}{19} \Rightarrow D_{F} = 24 \times \frac{19}{12} = 38$

Step 5: Find the total number of EVs manufactured in F ( ${EV}_{F}$ )
Using the relation for Company F:

$T_{F} = D_{F} + {EV}_{F} + P_{F}$

$625 = 38 + {EV}_{F} + 54$

$625 = 92 + {EV}_{F}$

${EV}_{F} = 625 - 92 = 533$

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