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 was the difference in the production of number of type-C cars between 2019 and 2020?

Options

A

5000

B

7500

C

8500

D

2500

Show Answer

Correct Answer :

Option A

5000

Solution :

The correct answer is 5000.

Step-by-step Explanation:

To find the difference in the production of Type-C cars between 2019 and 2020, we need to calculate the actual number of Type-C cars produced in each of these two years using the total production values and their respective percentages from the table.

From the table, we have the following data for Type-C cars:
1. In the year 2019, the percentage distribution for Type-C cars was 30% out of a total production of 4,50,000 cars.
2. In the year 2020, the percentage distribution for Type-C cars was 25% out of a total production of 5,20,000 cars.

Step 1: Calculate the production of Type-C cars in 2019

Production in 2019 = 30 % of 4,50,000

Production in 2019 = 30 100 × 4,50,000 = 1,35,000

Step 2: Calculate the production of Type-C cars in 2020

Production in 2020 = 25 % of 5,20,000

Production in 2020 = 25 100 × 5,20,000 = 1,30,000

Step 3: Find the difference in production between the two years

Difference = Production in 2019 - Production in 2020

Difference = 1,35,000 - 1,30,000 = 5,000

Thus, the difference in the production of Type-C cars between 2019 and 2020 is 5000.

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