| 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 |
A) 20: 21
B) 21: 20
C) 20: 19
D) 19: 21
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\[=\frac{18900}{18000}=\frac{21}{20}=21:20\] |
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