If the number of workers in Category B increased by 10% and the number of workers in Category D decreased by 5% in 1996, then what is the total number of workers in Categories B and D in 1996, if the number of workers in B was 1500 in the year 1995?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 4025.
Given that
If the number of workers in category B is increased by 10%, the number of workers in category D is decreased by 5% in 1996,
The number of workers in B was 1500 in the year 1995.
According to the question
⇒ 15% = 1500
⇒ 1% = 1500/15 = 100
The number of workers in D in the year 1995 = 25% = 100 × 25 = 2500
Now, the number of workers in B in the year 1996 = 1.1 × 1500 = 1650
The number of workers in D in the year 1996 = 0.95 × 2500 = 2375
Hence, the total number of workers in B and D in the year 1996 = 2375 + 1650 = 4025
