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An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio.
  • a)
    increases 20:21
  • b)
    decreases 21:20
  • c)
    increases 21:22
  • d)
    decreases 22:21
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An employer reduces the number of his employees in the ratio of 7:4 an...
Answer – b) decreases 21:20 Explanation : Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y so total wage = 21xy initially and then 20xy so wages decreases and ratio = 21:20
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Most Upvoted Answer
An employer reduces the number of his employees in the ratio of 7:4 an...
Given data:
- The number of employees is reduced in the ratio 7:4.
- The wages are increased in the ratio 3:5.

Let's assume that the employer had 7x employees and was paying each employee 5y wages.

After the reduction in the number of employees, the new number of employees will be 4x. But the wages have been increased in the ratio 3:5. Therefore, the new wage will be (5y * 5)/(3) = 25y/3.

So, the total bill of wages before the reduction = 7x * 5y = 35xy
And, the total bill of wages after the reduction = 4x * (25y/3) = (100xy/3)

Now, let's simplify the two bills of wages and see how they compare:

(100/3)xy - 35xy = (65/3)xy

So, the bill of total wages has decreased by (65/3)xy.

We can write this as a ratio of the two bills of wages:

New bill : Old bill = (100/3)xy : 35xy
= 100:105
= 20:21

Therefore, the correct option is (b) decreases 21:20.
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Community Answer
An employer reduces the number of his employees in the ratio of 7:4 an...
  • Answer – b) decreases 21:20
  • Explanation :
  • Let initial employees be 7x and then 4x
  • similarly initial wages be 3y and then 5y
  • so total wage = 21xy initially and then 20xy
  • so wages decreases and ratio = 21:20
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An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio.a)increases 20:21b)decreases 21:20c)increases 21:22d)decreases 22:21e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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