The following table presents the percentage (%) distribution of production of…

2022

The following table presents the percentage (%) distribution of production of various models of Laptop (A-F) manufactured by a company over two consecutive years in 2019 and 2020. The total number of Laptops produced in 2019 was 35 lakh and in 2020, it was 44 lakhs. Based on the data in the table, answer the questions:

Year-wise Percentage Distribution of Production of Laptops

Year

A

B

C

D

E

F

2019

30%

15%

20%

10%

15%

10%

2020

40%

20%

15%

10%

10%

5%

What was the difference in the number of Model-B Laptops produced in 2019 and 2020?

Answer: A. 3.55 lakhConceptTo find a percentage share, multiply the total by the percentage and divide by 100. For two periods, compute each actual quantity separately; then…

  1. A.

    3.55 lakh

  2. B.

    2.70 lakh

  3. C.

    2.25 lakh

  4. D.

    1.75 lakh

Attempted by 1 students.

Show answer & explanation

Correct answer: A

Concept

To find a percentage share, multiply the total by the percentage and divide by 100.

For two periods, compute each actual quantity separately; then subtract the smaller quantity from the larger quantity to obtain the absolute difference.

Application

  1. Model-B production in 2019 = 35 × 15/100 = 5.25 lakh.

  2. Model-B production in 2020 = 44 × 20/100 = 8.80 lakh.

  3. Difference = 8.80 − 5.25 = 3.55 lakh.

Cross-check

Adding the difference back to the smaller production gives 5.25 + 3.55 = 8.80 lakh, which reproduces the 2020 Model-B quantity.

Therefore, the required difference is 3.55 lakh.

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