Question
In a company team, if 3 employees each weighing 65 kg
resign, the average weight of the remaining team members drops by 1 kg. But if 4 employees with an average weight of 66 kg resign, the average weight reduces by 2 kg. What was the original number of employees in the team?Solution
ATQ,
Let the total number of employees = n, and average weight = m
After 3 people leave:
mn - 3×65 = (n - 3)(m - 1)
→ mn - 195 = mn - 3m - n + 3
→ 3m + n = 198 -------- (i)
After 4 people leave:
mn - 4×66 = (n - 4)(m - 2)
→ mn - 264 = mn - 4m - 2n + 8
→ 4m + 2n = 272
→ divide by 2: 2m + n = 136 -------- (ii)
Now solve equations:
From (i): n = 198 - 3m
Substitute into (ii):
2m + (198 - 3m) = 136
→ 2m + 198 - 3m = 136
→ -m = -62
→ m = 62
→ n = 198 - 3×62 = 198 - 186 = 12
The bitter taste in brinjal fruit is due to?
Which cotton species is recognized as "American cotton" or "Upland cotton" and has an allelotetraploid chromosome number?
The technological function of calcium propionate in bread is as a/an:
Loans upto ______ pledge/hypothecation of agricultural produce including WHR for a period not exceeding 12 months against NWR/eNWRS are eligible to clas...
First dwarf variety of the world which is considered as a miracle rice?
Which of the following state has highest inland water resources in the form of brackish water?
The El-Nino phenomenon occurs in:
Time-Temperature Indicators, Biosensors, Ripeness Indicators and Radio Frequency Identification are some quality indicators which may be used in:
Which of the following technique is used to reduce soil erosion, evaporation, kinetic energy impact of rain drops?
Green manure crop suitable for reclamation of salt affected soils is:
