A man's working hours per day were increased by 20% and his wages per hour were increased. by 15 %. By how much percent were his daily earnings increased

Options

A. A) 38%
B. B) 35%
C. C) 05%
D. D) 40%

Answer

To solve the problem step by step, we need to calculate the increase in daily earnings based on the changes in working hours and wages.

### Step 1: Determine Initial Working Hours and Wages
Let’s assume the initial working hours per day are 100 hours (this is just a reference point for calculation).

### Step 2: Calculate Increased Working Hours
The working hours per day were increased by 20%.
- Increased working hours = Initial working hours + (20% of Initial working hours)
- Increased working hours = 100 + (20/100 * 100) = 100 + 20 = 120 hours

### Step 3: Determine Initial Wages
Let’s assume the initial wages per hour are 100 (again, this is just a reference point for calculation).

### Step 4: Calculate Increased Wages
The wages per hour were increased by 15%.
- Increased wages = Initial wages + (15% of Initial wages)
- Increased wages = 100 + (15/100 * 100) = 100 + 15 = 115

### Step 5: Calculate Initial Daily Earnings
Initial daily earnings can be calculated as:
- Initial Daily Earnings = Initial Working Hours * Initial Wages
- Initial Daily Earnings = 100 * 100 = 10,000

### Step 6: Calculate Final Daily Earnings
Final daily earnings can be calculated as:
- Final Daily Earnings = Increased Working Hours * Increased Wages
- Final Daily Earnings = 120 * 115 = 13,800

### Step 7: Calculate Increase in Daily Earnings
Now, we can find the increase in daily earnings:
- Increase in Daily Earnings = Final Daily Earnings - Initial Daily Earnings
- Increase in Daily Earnings = 13,800 - 10,000 = 3,800

### Step 8: Calculate Percentage Increase in Daily Earnings
To find the percentage increase in daily earnings:
- Percentage Increase = (Increase in Daily Earnings / Initial Daily Earnings) * 100
- Percentage Increase = (3,800 / 10,000) * 100 = 38%

### Final Answer
The percentage increase in daily earnings is **38%**.

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