In a company, $20\%$ of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is

$5:4$

$4:5$

$5:6$

$6:5$

✅ Correct Option: 2

20% of all employees work in manufacturing

Hence, ratio of manufacturing employees to non-manufacturing employees $= 1:4$

Manufacturing employees' total salary = 1/6 of company's total salary

Hence, ratio of manufacturing employees (salary) to non-manufacturing employees (salary) $= 1:5$

Average salary of a department = Total salary of a department ÷ Number of employees in that department

Average salary of manufacturing employees $=\dfrac{1}{1} = 1$

Average salary of non-manufacturing employees $=\dfrac{5}{4}$

Ratio $=$ (Average salary of manufacturing) $:$ (Average salary of non-manufacturing)

$= 1 : \dfrac{5}{4}$

Multiplying both sides by $4$ :

$= \boxed{4:5}$

Therefore, the ratio is 4:5

This result tells us that manufacturing employees earn lower average salaries than non-manufacturing employees. Even though manufacturing employees make up 20% of the workforce, they only receive 1/6 ≈ 16.67% of the total salary, indicating their individual salaries are lower on average.

CAT 2018 Slot 2

The scores of Amal and Bimal in an examination are in the ratio $11:14$ . After an appeal, their scores increase by the same amount and their new scores are in the ratio $47 : 56$ . The ratio of Bimal's new score to that of his original score is

CAT 2019 Slot 2

The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$ , and in the ratio $3:4:3$ in $2015$ . If Ramesh's salary increased by $25\%$ during $2010-2015$ , then the percentage increase in Rajesh's salary during this period is closest to:

CAT 2021 Slot 2

Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is $70\%$ . His share of profit decreases by Rs. $420$ if the overall profit goes down from $18\%$ to $15\%$ . Chintu's share of profit increases by Rs. $80$ if the overall profit goes up from $15\%$ to $17\%$ . The amount, in INR, invested by Bobby is

CAT 2019 Slot 2

In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$ . The revised scores of Anjali, Mohan, and Rama were in the ratio $11:10:3$ . Then Anjali's score exceeded Rama's score by

CAT 2023 Slot 2

The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing $18$ units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be $288000$ . Then, the price of the original precious stone is

CAT 2024 Slot 1

A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the oranges, the ratio of number of unsold apples to number of unsold oranges becomes 3: 2. The total number of unsold fruits is

Solution

Related questions:

Keyboard Shortcuts

CAT Past Year Questions (Topic-Wise)