Question : The following pie chart shows the number of workers of different categories A, B, C, D, E, F, G, and H of a factory in 1995.
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 no. of workers in Categories B and D in 1996, if no. of workers in B was 1500 in the year 1995?
Option 1: 4025
Option 2: 4500
Option 3: 5000
Option 4: 4000
Correct Answer: 4025
Solution :
Number of workers in Category B was 1500 in the year 1995.
It is given that 15% of the workers are in Category B.
So, 15% of the workers are in Category B = 1500
$\therefore$ 25% of workers in Category D $= \frac{1500}{15}×25=2500$
In 1996, the number of workers in Category B increased by 10%.
So, workers in Category B in 1996 $= \frac{110}{100}×1500=1650$
In 1996, the number of workers in Category D decreased by 5% in 1996.
So, workers in Category D in 1996 $= \frac{95}{100}×2500=2375$
$\therefore$ Total workers in Category B and D in 1996 = 1650 + 2375 = 4025
Hence, the correct answer is 4025.
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