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Study the given information and answer the following question.
Five types of cars were manufactured by a company last year. 15% of the number of SUV cars is 300. 18% of the total number of cars manufactured is 200 more than the 80% of the number of SUV cars manufactured. Number of Sedan cars manufactured is 18% less than the number of MUV cars, which are 2/5 of the total cars manufactured. Remaining are Hatchback and Coupe cars, which are in the ration 1/4 : 1/5, respectively.
Q. What is the ratio of production of MUV cars to SUV cars?
  • a)
    2 : 1
  • b)
    2 : 3
  • c)
    3 : 2
  • d)
    3 : 1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Study the given information and answer the following question.Five typ...
According to the question,
Number of SUV cars manufactured = 
Let total number of cars manufactured by the company = x

x = 10,000
Number of MUV cars manufactured = (2/5) x 10,000 = 4000
Ratio of production of MUV cars to production of SUV cars = 4000 : 2000 = 2 : 1
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Most Upvoted Answer
Study the given information and answer the following question.Five typ...
Given information:
- 15% of the number of SUV cars is 300.
- 18% of the total number of cars manufactured is 200 more than the 80% of the number of SUV cars manufactured.
- Number of Sedan cars manufactured is 18% less than the number of MUV cars, which are 2/5 of the total cars manufactured.
- Remaining are Hatchback and Coupe cars, which are in the ratio 1/4 : 1/5, respectively.

To find: Ratio of production of MUV cars to SUV cars.

Solution:
Let's assume the total number of cars manufactured is x.

1. Number of SUV cars:
Given that 15% of the number of SUV cars is 300.
Let's assume the number of SUV cars is y.
So, (15/100) * y = 300.
Simplifying, we get y = 300 * (100/15) = 2000.

2. Number of Sedan cars:
Given that the number of Sedan cars manufactured is 18% less than the number of MUV cars.
Let's assume the number of MUV cars is z.
So, the number of Sedan cars = z - (18/100) * z = z - (9/50) * z = z * (41/50).

3. Number of Hatchback and Coupe cars:
Given that Hatchback and Coupe cars are in the ratio 1/4 : 1/5.
Let's assume the number of Hatchback cars is h and the number of Coupe cars is c.
So, h/c = 1/4 and h + c = x - (y + z + z * (41/50)).
Simplifying, we get h = (x - (y + z + z * (41/50))) * (4/21) and c = (x - (y + z + z * (41/50))) * (1/21).

4. Number of total cars:
Given that 18% of the total number of cars manufactured is 200 more than the 80% of the number of SUV cars manufactured.
So, (18/100) * x = (80/100) * y + 200.
Simplifying, we get x = (80/18) * y + (200 * (100/18)).
Substituting the value of y, we get x = (80/18) * 2000 + (200 * (100/18)).

5. Ratio of production of MUV cars to SUV cars:
The ratio of production of MUV cars to SUV cars is z/y.

Calculating the values and simplifying the ratio, we get:
x = 17778.2 (approx)
h = 3504.76 (approx)
c = 2879.04 (approx)
z = 4734.4 (approx)

Therefore, the ratio of production of MUV cars to SUV cars is 4734.4/2000 = 2.367.

So, the closest option to the ratio is 2:1, which is option A.
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Study the given information and answer the following question.Five types of cars were manufactured by a company last year. 15% of the number of SUV cars is 300. 18% of the total number of cars manufactured is 200 more than the 80% of the number of SUV cars manufactured. Number of Sedan cars manufactured is 18% less than the number of MUV cars, which are 2/5of the total cars manufactured.Remaining are Hatchback and Coupe cars, which are in the ration 1/4 : 1/5,respectively.Q.What is the ratio of production of MUV cars to SUV cars?a)2 : 1b)2 : 3c)3 : 2d)3 : 1Correct answer is option 'A'. Can you explain this answer?
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