Question

In an industry, the ratio of number of employees is reduced
to the ratio 9:8 and income per employee labour is increased
to the ratio 14:15. Find in what ratio the total labour income
increased or decreased ?
a. 60:63 b. 63:60 c. 42:30 d. 30:42​

Answer 1

Answer:

b. 63 : 60

Step-by-step explanation:

Question says that,

Number of employees reduction in ratio

→ 9 : 8

Income per employee labour is increased in

→ 14 : 15

Find the ratio of the total labour income increased or decreased.

If we assume :

Number of employee reduced as ‘9x’ and ‘8x’

And, income increased as ‘14y’ and ‘15y’

Step 1 : Calculate the bill amount :

Bill is the product of employee and the income.

The bill will be : 9x • 14y = ₹126xy

Step 2 : Calculate the new bill :

The new bill is the product of number of employee and increasing income.

New bill is : 8x • 15y = ₹120xy

Step 3 : Calculate the increased/decreased ratio :

∵ The income is decreasing

∴ Decreased income ratio is :

→ 126xy : 120xy

→ 63 : 60 ✔

Answer 2

Problem:

In an industry, the ratio of number of employees is reduced

to the ratio 9:8 and income per employee labour is increased

to the ratio 14:15. Find in what ratio the total labour income

increased or decreased ?

a. 60:63 b. 63:60 c. 42:30 d. 30:42.

Answer-

$\bold{\huge{\fbox{\color{green}{63:60}}}}$

Solution:

●Number of employees reduction in ratio

→ 9 : 8

●Income per employee labour is increased in

→ 14 : 15

●Find the ratio of the total labour income increased or decreased.

●If we assume :

Number of employee reduced as ‘9x’ and ‘8x’

And, income increased as ‘14y’ and ‘15y’

Step 1 : Calculate the bill amount :

Bill is the product of employee and the income.

The bill will be : 9x • 14y = ₹126xy

Step 2 : Calculate the new bill :

The new bill is the product of number of employee and increasing income.

New bill is : 8x • 15y = ₹120xy

Step 3 : Calculate the increased/decreased ratio :

∵ The income is decreasing

∴ Decreased income ratio is :

→ 126xy : 120xy

➪63:60.

$\sf\red{hope\:it\:helps\:you}$