Question Details

The following table shows the percentage (%) distribution of five different types of cars (A-E) produced by a company during two consecutive years 2019 and 2020. The total number of cars produced was 4,50,000 in the years 2019 and 5,20,000 in the year 2020.

Based on the data in the table, answer the question 1-5:

Year-wise percentage distribution of production of cars

Year Type of car produced (in%)
A B C D E
2019 15%
25%
30% 10% 20%
2020 10%
30%
25% 25% 10%

What is the ratio of number of type-C cars produced in 2019 to the number of type-D cars produced in 2020?

Options

A

29:27

B

23:22

C

27:26

D

27:23

Show Answer

Correct Answer :

Option C

27:26

Solution :

The correct option is 27:26.

To find the ratio of the number of type-C cars produced in 2019 to the number of type-D cars produced in 2020, we calculate the production quantities step-by-step using the data provided in the table:

1. Number of type-C cars produced in 2019:
From the table, the percentage distribution of type-C cars in 2019 is 30%.
The total number of cars produced in 2019 is 4,50,000.
Therefore, the number of type-C cars produced in 2019 is:
Production of C (2019) = 30 %  of  4,50,000
= 30 100 × 4,50,000 = 1,35,000

2. Number of type-D cars produced in 2020:
From the table, the percentage distribution of type-D cars in 2020 is 25%.
The total number of cars produced in 2020 is 5,20,000.
Therefore, the number of type-D cars produced in 2020 is:
Production of D (2020) = 25 %  of  5,20,000
= 25 100 × 5,20,000 = 1,30,000

3. Ratio of type-C cars in 2019 to type-D cars in 2020:
Ratio = 1,35,000 1,30,000
By simplifying the fraction by dividing both numerator and denominator by 5,000:
= 27 26
Thus, the required ratio is 27:26.

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