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% |
If the percentage production of type-B cars in 2020 was the same as that of 2019, then what would have been the number of type-B cars produced in 2020?
112500
120000
130000
135000
130000
The correct answer is 130000.
To find the hypothetical number of type-B cars produced in 2020, we extract the relevant data points from the given table and description, then apply the condition step-by-step:
Step 1: Identify the total number of cars produced in 2020
According to the problem description, the total number of cars produced in the year 2020 is 5,20,000.
Step 2: Identify the percentage production of type-B cars in 2019
By looking at the table under the row for 2019 and the column for type-B cars, we can see that the percentage distribution for type-B cars was 25%.
Step 3: Apply the condition to 2020
The question specifies that the percentage production of type-B cars in 2020 is assumed to be the same as that of 2019. Therefore, we use the 2019 rate of 25% for our 2020 calculation.
Step 4: Calculate the number of type-B cars produced in 2020
We calculate 25% of the total production in 2020 (5,20,000):
We convert the percentage to a fraction:
We simplify the fraction to 1/4:
Dividing 5,20,000 by 4 gives:
Thus, the number of type-B cars produced in 2020 under this condition is 1,30,000.