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Standard VI

Mathematics

Converting Percentage to Fraction

Question 66In...

Question

Question 66

In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

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Solution

Percentage of women in factory = 35%
Percentage of men in factory = 100 - 35 = 65%
Let the number of persons in the factory be x.
According to the question,
$x \times \frac{65}{100} - x \times \frac{35}{100} = 252 \Rightarrow \frac{65 x - 35 x}{100} = 252 \Rightarrow \frac{30 x}{100} = 252 \Rightarrow x = \frac{2520}{3} = 840$
Hence, total number of workers in the factory is 840.

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Question 66

In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

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Q. Present the following information in a suitable table :
• In 2005 out of a total of 1750 workers of a factory 1200 workers were members of a trade union . The number of women employed was 200 of which 175 did not belong to trade union.
• In 2010, the number of union workers increased to 1580 of which 1290 were men. On the other hand , the number of non-union workers fell down to 208 of which 180 were men.
• In 2015, there were on the pay rolls of factory, 1850 workers of whom 1800 belong to a trade union . Of all the employees in 2015, 300 were women of whom only 8 did not belong to a trade union.

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Converting Percentage to Fraction

Standard VI Mathematics

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Question 66 In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.

Percentage of women in factory = 35% Percentage of men in factory = 100 - 35 = 65% Let the number of persons in the factory be x. According to the question, x×65100−x×35100=252⇒ 65x−35x100=252⇒ 30x100=252⇒ x=25203=840 Hence, total number of workers in the factory is 840.

Question 66

In a factory, women are 35% of all the workers, the rest of the workers being men. The number of men exceeds that of women by 252. Find the total number of workers in the factory.