Question

An employer reduce the number of employees in the ratio of 9:8and increase their wages in the ratio of 14:15,in what ratio is the wages bill decreased​

Answer 1

Given :

• An employer reduce the number of employees in the ratio of 9:8.
• Increase their wages in the ratio of 14:15.

To find :

• Ratio of the wages bill decreased =?

Step-by-step explanation :

First Case :

An employer reduce the number of employees in the ratio of 9:8.

So,

Let, the original number of employees = 9x.

Then, the present number of employees = 8x

Second Case :

Increase their wages in the ratio of 14:15.

So,

Let, the original wages be, 14y

Then, the present wages be, 15y

Now,

Original wage bill = 9x × 14y = 126xy

Present wage bil= 8x × 15y = 120 xy

Therefore,

So, the wage bill in ratio = Original wage / Present wage.

= 126xy/120xy

= 21 /20

Thus, Ratio of the decreased wage = 21 : 20.

Answer 2

Answer:

Ratio of the decreased wage = 21 : 20.

Given :

➛An employer reduce the number of employees in the ratio of 9:8.

➛Increase their wages in the ratio of 14:15.

To find :

Ratio of the wages bill decreased .

Solution:

◉ According to first condition,

➡An employer reduce the number of employees in the ratio of 9:8.

Therefore,

➵Let, the original number of employees = 9m.

➵Then, the present number of employees = 8m

◉According to second condition,

Increase their wages in the ratio of 14:15.

Therefore,

➵ Let, the original wages be, 14n

➵Then, the present wages be, 15n

Now,

Original wage bill = 9m × 14n = 126mn

Present wage bil= 8m × 15n = 120 mn

Therefore,

The wage bill in ratio = Original wage / Present wage.

The wage bill in Ratio = 126mn / 120mn

The wage bill in Ratio = 21 /20