Directions for questions : The following diagram shows the percentage share of…

2025

Directions for questions : The following diagram shows the percentage share of manufacturing sector in total employment in small, medium and large establishments individually. The definitions of small, large and medium establishments are shown below in the diagram

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Small establishments are defined as those with fewer than 100 employees. Medium-sized establishments are defined as those with between 100 and 1500 employees. Large establishments are defined as those with more than 1500 employees. Study the diagram carefully and answer the questions given below:

In 1987, about 40 million employees were there in the large establishments. The population of employees from 1987 to 2000 grew by 60% in large establishments. How many employees were there in the manufacturing sector in large establishments in 2000?

  1. A.

    33.2 m

  2. B.

    69.3 m

  3. C.

    19.2 m

  4. D.

    47.2 m

Show answer & explanation

Correct answer: C

Concept: When a base quantity for one year is given along with its percentage growth to a target year, first scale the base to the target year to get the new total, then apply the target category's percentage share (read from the chart) to that total to isolate the category's actual value.

  1. Large establishments had about 40 million employees in 1987 (given in the question).

  2. Employment in large establishments grew by 60% from 1987 to 2000, so total employment in large establishments in 2000 = 40 x (1 + 60/100) = 40 x 1.6 = 64 million.

  3. From the bar graph, the manufacturing sector's share of employment within large establishments in the year 2000 is 30%.

  4. Manufacturing sector employees in large establishments in 2000 = 64 million x 30/100 = 19.2 million.

Cross-check: 19.2 million is exactly 30% of the 64 million total computed for large establishments in 2000, matching the share read from the chart, which confirms the result is consistent.

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