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:
Question:
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:
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:
Options
Answer: 4:5
Explanation:
Step 1: Let total number of employees = 100 Employees in manufacturing (M) = 20% of 100 = 20 Employees in non-manufacturing (N) = 100 − 20 = 80 Step 2: Let total salaries Total salary of all employees = S Total salary of manufacturing employees = S_M = (1/6) S Total salary of non-manufacturing employees = S_N = S − S_M = S − (1/6)S = (5/6)S Step 3: Find average salaries Average salary of manufacturing employees: Avg 𝑀 = 𝑆 𝑀 / 20 = ( 1 / 6 ) 𝑆 / 20 = 𝑆 / 120 Avg M =S M /20=(1/6)S/20=S/120 Average salary of non-manufacturing employees: Avg 𝑁 = 𝑆 𝑁 / 80 = ( 5 / 6 ) 𝑆 / 80 = ( 5 𝑆 ) / ( 480 ) = 𝑆 / 96 Avg N =S N /80=(5/6)S/80=(5S)/(480)=S/96 Step 4: Ratio of average salaries Avg 𝑀 : Avg 𝑁 = ( 𝑆 / 120 ) : ( 𝑆 / 96 ) = 1 / 120 : 1 / 96 = 96 : 120 = 4 : 5 Avg M :Avg N =(S/120):(S/96)=1/120:1/96=96:120=4:5 ✅ Answer 4 : 5
Explanation:
Step 1: Let total number of employees = 100 Employees in manufacturing (M) = 20% of 100 = 20 Employees in non-manufacturing (N) = 100 − 20 = 80 Step 2: Let total salaries Total salary of all employees = S Total salary of manufacturing employees = S_M = (1/6) S Total salary of non-manufacturing employees = S_N = S − S_M = S − (1/6)S = (5/6)S Step 3: Find average salaries Average salary of manufacturing employees: Avg 𝑀 = 𝑆 𝑀 / 20 = ( 1 / 6 ) 𝑆 / 20 = 𝑆 / 120 Avg M =S M /20=(1/6)S/20=S/120 Average salary of non-manufacturing employees: Avg 𝑁 = 𝑆 𝑁 / 80 = ( 5 / 6 ) 𝑆 / 80 = ( 5 𝑆 ) / ( 480 ) = 𝑆 / 96 Avg N =S N /80=(5/6)S/80=(5S)/(480)=S/96 Step 4: Ratio of average salaries Avg 𝑀 : Avg 𝑁 = ( 𝑆 / 120 ) : ( 𝑆 / 96 ) = 1 / 120 : 1 / 96 = 96 : 120 = 4 : 5 Avg M :Avg N =(S/120):(S/96)=1/120:1/96=96:120=4:5 ✅ Answer 4 : 5
👉 Want AI explanation? Open in MCQ App
Recommended articles
- How To Cover Current Affairs For Upsc Prelims — Master UPSC Current Affairs with daily newspaper reading, Vision IAS monthly compilations, PT 365, and MCQ practice. Complete strategy guide for Prelims…
- Top 10 Daily Current Affairs Resources For Upsc Aspirants — Discover the best daily current affairs resources for UPSC 2026. Complete guide with The Hindu, PIB, Sansad TV, and 7 more proven sources. Expert…
- Free Cat Previous Year Questions Guide — Master CAT 2025 with free previous year questions. Practice 1000+ PYQs, mock tests, and detailed solutions. Complete guide to CAT preparation using past…