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 85% of type-E cars produced during 2019 and 2020 together are sold by the company, then how many cars are left unsold by the company?

The correct option is 21300.

Let us calculate the total number of type-E cars produced in 2019 and 2020 step-by-step from the data provided in the table:

1. In 2019, the total number of cars produced was 4,50,000. According to the table, the percentage distribution of type-E cars produced in 2019 was 20%.

Therefore, the number of type-E cars produced in 2019 is calculated as:
$$\text{Production of E in 2019}=20\%\text{of}\mathrm{4,50,000}$$
$$\text{Production of E in 2019}=\frac{20}{100}\times \mathrm{4,50,000}=\mathrm{90,000}$$

2. In 2020, the total number of cars produced was 5,20,000. The table shows that the percentage distribution of type-E cars produced in 2020 was 10%.

Therefore, the number of type-E cars produced in 2020 is calculated as:
$$\text{Production of E in 2020}=10\%\text{of}\mathrm{5,20,000}$$
$$\text{Production of E in 2020}=\frac{10}{100}\times \mathrm{5,20,000}=\mathrm{52,000}$$

3. Now, we find the total number of type-E cars produced during both years combined:
$$\text{Total E produced}=\mathrm{90,000}+\mathrm{52,000}=\mathrm{1,42,000}$$

4. The company sold 85% of these total type-E cars, which means the percentage of type-E cars left unsold is:
$$\text{Unsold percentage}=100\%-85\%=15\%$$

5. Finally, we calculate the number of type-E cars that remain unsold:
$$\text{Unsold E cars}=15\%\text{of}\mathrm{1,42,000}$$
$$\text{Unsold E cars}=\frac{15}{100}\times \mathrm{1,42,000}$$
$$\text{Unsold E cars}=15\times \mathrm{1,420}=\mathrm{21,300}$$

Thus, the total number of type-E cars left unsold is 21,300.