Question

An employer reduces the number of his employees in the ratio of 5 : 4 and increases their wages in the ratio of 7 : 8. Find the ratio in which the wage bill increases or decreases due to this change. Also find the difference if the bill was rs.490 earlier. Select one: a. Rs.50 b. Rs.532 c. Rs.448 d. Rs.42

Answer 1

Answer:

Ratio decreased to 35 : 32

The difference is Rs 448 (Option C)

Step-by-step explanation:

Define x:

Ratio of the workers = 5 : 4

Let x be the constant ratio

Ratio of the workers = 5x : 4x

Define y:

Ratio of the wages = 7 : 8

Let y be the constant ratio

Ratio of the wages = 7y : 8y

Find the new ratio of the wages bill:

Ratio = (5x)(7y) : (4x)(8y)

Ratio = 35xy : 32xy

(Divide by xy through)

Ratio = 35 : 32

Find the difference in the bill:

35z = Rs 490

z = Rs 14

32z = 14 x 32 = Rs 448

Answer: The ratio decreased to 35 : 32 and the difference in the bill is Rs 448