Question

Question No. 1.
8 The number of workers in garment
factories is reduced in the ratio 3: 2 and
the salary of each worker is increased in
the ratio 4: 5. By doing so, the garment
factory saves Rs. 12000. What was the
initial expenditure on the salary?
62000
60000
50000
72000​

Answer 1

Given: The number of workers in garment  factories is reduced in the ratio 3: 2 and  the salary of each worker is increased in  the ratio 4: 5.

To find: What was the  initial expenditure on the salary?

Solution:

• Now we have given the ratio of number of workers in garment  factories is reduced in the ratio 3: 2 and  the salary of each worker is increased in  the ratio 4: 5.

• So let the number of previous employees be 3X and salary of each employee be 4T.

• Similarly the number of present employees be 2X and salary of each employee be 5T.

• Now earlier expenditure will be:

                       3X × 4T = 12XT  ..................(i)

• Present expenditure  

                       2X × 5T = 10XT  ......................(ii)

• Now we have given that  the garment  factory saves Rs. 12000, so:

                       12XT - 10XT = 12000

                       2XT = 12000

                       XT = 6000

• Putting the value of XT in (i), we get:

                       earlier expenditure = 12 XT = 12 (6000)

                       earlier expenditure = 72000

Answer:

             So the initial expenditure on the salary is 72000 Rs.