If a person earns Rs. 70,000 in one year, assuming 365 days in a year and 24 hours in a day, what is the equivalent earning per hour in rupees?

Introduction / Context:
This question is a unit conversion and rate problem framed in the context of annual income. A yearly salary is given, and we are asked to convert this into an hourly earning rate by using the total number of hours in a year. It tests understanding of basic time conversions and proportions.

Given Data / Assumptions:

• Annual income = Rs. 70,000.
• We assume 365 days in a year.
• We assume 24 hours in each day.
• We want income per hour in rupees.
• Income is distributed uniformly across all hours in the year.

Concept / Approach:
The earning per hour is found by dividing the total yearly earnings by the total number of hours in a year. The total hours are computed by multiplying days per year by hours per day. Once we know the total number of hours, we perform a straightforward division to obtain the hourly rate. This is a direct application of the formula rate = total amount / total time.

Step-by-Step Solution:
Total days in a year = 365.Hours per day = 24.Total hours in a year = 365 * 24.Compute 365 * 24 = 8760 hours.Total income = Rs. 70,000.Hourly income = 70000 / 8760 rupees.70,000 / 8,760 is approximately equal to 7.99, which rounds to 8 rupees per hour.

Verification / Alternative check:
We can check by reversing the operation. If we assume the hourly rate is exactly Rs. 8, then yearly income would be 8 * 8,760 = 70,080 rupees. This is extremely close to 70,000 and consistent with rounding the hourly rate to the nearest integer. Hence, treating the answer as 8 rupees per hour is reasonable and matches the intent of the multiple choice options.

Why Other Options Are Wrong:
An hourly rate of 80 rupees would imply an annual income of 80 * 8,760 = 700,800, which is far higher than Rs. 70,000. An hourly rate of 0.8 rupee would lead to only 7,008 rupees per year. An hourly rate of 0.08 rupee would give only 700.8 rupees per year. None of these match the given yearly amount of Rs. 70,000.

Common Pitfalls:
Some learners may mistakenly divide by 365 or by 24 instead of by the full product 365 * 24, which mixes up hours, days, and years. Others may assume a working year of fewer hours without checking the assumption given in the question. Always pay attention to what time basis is specified and be systematic about counting total hours before performing the division.

Final Answer:
The equivalent earning rate is approximately 8 rupees per hour.