An employer reduces the number of his employe | vedclass

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(A) Let the initial number of employees be $9x$ and the initial wage per employee be $14y$.The original total wage bill is given by the product of the

Vedclass · Accepted Answer

$20: 21$

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(A) Let the initial number of employees be $9x$ and the initial wage per employee be $14y$.The original total wage bill is given by the product of the number of employees and the wage per employee:Original Bill $= 9x 	imes 14y = 126xy$.According to the problem,the number of employees is reduced to $8x$ and the wage per employee is increased to $15y$.The new total wage bill is:New Bill $= 8x 	imes 15y = 120xy$.The ratio of the new wage bill to the original wage bill is:Ratio $= 120xy : 126xy = 120 : 126$.Dividing both terms by their greatest common divisor,which is $6$:$120 / 6 = 20$ and $126 / 6 = 21$.Thus,the ratio in which the wage bill is changed is $20 : 21$.

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 ₹ $18,900$,find the ratio in which the wage bill is decreased.

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