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
Which of the following line(s) act as a normal to a spherical mirror?
(i) Line joining the pole and centre of curvature
(ii) Line joining ...
The sides of a rectangle are in the ratio 8 : 10 and its perimeter is 90 cm. The area of this rectangle is:
Which of the following theories is known as the Iron Law Theory of Wages?
Who flagged off the Baba Saheb Ambedkar Yatra Bharat Gaurav Tourist train from New Delhi and what is the purpose of this train?
Which of the following is an example of a human cell that has the ability to modify its shape?
What is the Capital Asset Pricing Model (CAPM)?
The Axiom-4 (Ax-4) mission, recently seen in the news, comprises astronauts from which of the following countries?
Consider the following statements:
I. The Ikshvaku rulers of southern India were antagonistic towards Buddhism.
II. The Pala rulers of e...
What is the maximum pension amount payable under Pradhan Mantri Vaya Vandana Yojana (PMVVY)?
Consider the following statements with respect to Centre for Wetland Conservation and Management (CWCM)
1. It will be established as a part ...
