Question: 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 bill was Rs. 18900, then the ratio in which the wage bill is decreased, is
Options:
A) 20: 21
B) 21: 20
C) 20: 19
D) 19: 21
Show Answer
Answer:
Correct Answer: B
Solution:
- Let numbers of employees are 9x, 8x and their incomes are Rs. 14y and Rs. 15y, respectively,
$ \therefore $ $ 9x\times 14y=18900 $
$ \Rightarrow $ $ xy=\frac{18900}{14\times 9}=150 $
New bill of wages $ =8\times 15\times 150=18000 $
Hence, required ratio $ =\frac{18900}{18000}=\frac{21}{20}=21:20 $