Question

A worker completes a job in a certain number of hours. The standard time allowed for the job is 10 hours, and the hourly rate of wages is Re. 1. The worker earns at the 50% rate a bonus of Rs. 2 under Halsey Plan. Ascertain his total wages under the Rowan Premium Plan.

Answer 1

Under the Halsey Plan, the worker earns a bonus of Rs. 2, which is 50% of the standard wages. This means that the standard wages for the job are Rs. 4 (50% of Rs. 8).

Let's assume that the worker completes the job in 'x' hours. So, the Rowan Premium Plan formula to calculate wages is:

Total wages = (time taken / standard time) * standard wages + (time taken - standard time) * hourly rate * premium percentage

Here, the premium percentage is the percentage of time saved, which is given by:

Premium percentage = (standard time - time taken) / standard time * 100

Substituting the given values, we get:

Premium percentage = (10 - x) / 10 * 100
Premium percentage = (100 - 10x) %

Now, substituting this value in the Rowan Premium Plan formula, we get:

Total wages = (x / 10) * 4 + (x - 10) * 1 * (100 - 10x) / 100

Simplifying this expression, we get:

Total wages = (2x + 8 - x^2) / 5

So, the total wages earned by the worker under the Rowan Premium Plan is (2x + 8 - x^2) / 5.