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An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage was Rs. 18,900, then find the ratio of the old wage bill to the new one.
  • a)
    20 : 21
  • b)
    21 : 20
  • c)
    20 : 19
  • d)
    19 : 21
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
An employer reduces the number of his employees in the ratio 9 : 8 an...
Given, the employer reduces the number of employees in the ratio 9:8 and increases their wages in the ratio 14:15. Let the original number of employees be 9x and the original wage be Rs. 18,900.

After the reduction, the new number of employees will be 8x and the new wage will be (15/14) * 18,900 = Rs. 20,250.

Now, we need to find the ratio of the old wage bill to the new one:

- The old wage bill = number of employees * old wage = 9x * 18,900 = 170,100x
- The new wage bill = number of employees * new wage = 8x * 20,250 = 162,000x
- Ratio of old wage bill to new wage bill = 170,100x / 162,000x = 1.05

Therefore, the ratio of the old wage bill to the new one is 21:20 (option B).
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Community Answer
An employer reduces the number of his employees in the ratio 9 : 8 an...
Let the initial number of employees be 9x and the employer gives Rs. 14y as wage to each.
Old wage bill = 9x × 14y = 126xy
New wage bill = 8x × 15y = 120xy
Required ratio = 126xy : 120xy = 21 : 20
Hence, answer option 2 is correct.
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An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage was Rs. 18,900, then find the ratio of the old wage bill to the new one.a)20 : 21b)21 : 20c)20 : 19d)19 : 21Correct answer is option 'B'. Can you explain this answer?
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