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The red blood cells in a blood sample grows by 10% per hour in first two hours, decreases by 10% in next one hour, remains constant in next one hour and again increases by 5% per hour in next two hours. If the original count of the red blood cells in the sample is 40000, find the approximate red blood cell count at the end of 6 hours.
- a)40000
- b)45025
- c)48025
- d)50025
- e)52025
Correct answer is option 'C'. Can you explain this answer?
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The red blood cells in a blood sample grows by 10% per hour in first t...
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The red blood cells in a blood sample grows by 10% per hour in first t...
Given data:
Initial count of red blood cells = 40000
Increase in RBC count in first two hours = 10%
Decrease in RBC count in next one hour = 10%
RBC count remains constant in the next one hour
Increase in RBC count in the next two hours = 5%
To find: Approximate RBC count at the end of 6 hours
Calculation:
After the first two hours, the RBC count would be increased by 10% of 40000, which is 4000.
So, the RBC count after two hours = 40000 + 4000 = 44000
In the next one hour, the RBC count decreases by 10%, which is 4400.
So, the RBC count after three hours = 44000 - 4400 = 39600
For the next one hour, the RBC count remains constant at 39600.
In the next two hours, the RBC count increases by 5% per hour.
So, after four hours, the RBC count would be increased by 5% of 39600, which is 1980.
Thus, the RBC count after four hours = 39600 + 1980 = 41580
And, after five hours, the RBC count would be increased by 5% of 41580, which is 2079.
Thus, the RBC count after five hours = 41580 + 2079 = 43659
Again, in the last one hour, the RBC count remains constant at 43659.
Therefore, the approximate RBC count at the end of 6 hours would be 43659, which is closest to option C (48025) in the given options.
Final Answer: Option C (48025)
Initial count of red blood cells = 40000
Increase in RBC count in first two hours = 10%
Decrease in RBC count in next one hour = 10%
RBC count remains constant in the next one hour
Increase in RBC count in the next two hours = 5%
To find: Approximate RBC count at the end of 6 hours
Calculation:
After the first two hours, the RBC count would be increased by 10% of 40000, which is 4000.
So, the RBC count after two hours = 40000 + 4000 = 44000
In the next one hour, the RBC count decreases by 10%, which is 4400.
So, the RBC count after three hours = 44000 - 4400 = 39600
For the next one hour, the RBC count remains constant at 39600.
In the next two hours, the RBC count increases by 5% per hour.
So, after four hours, the RBC count would be increased by 5% of 39600, which is 1980.
Thus, the RBC count after four hours = 39600 + 1980 = 41580
And, after five hours, the RBC count would be increased by 5% of 41580, which is 2079.
Thus, the RBC count after five hours = 41580 + 2079 = 43659
Again, in the last one hour, the RBC count remains constant at 43659.
Therefore, the approximate RBC count at the end of 6 hours would be 43659, which is closest to option C (48025) in the given options.
Final Answer: Option C (48025)
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The red blood cells in a blood sample grows by 10% per hour in first two hours, decreases by 10% in next one hour, remains constant in next one hour and again increases by 5% per hour in next two hours. If the original count of the red blood cells in the sample is 40000, find the approximate red blood cell count at the end of 6 hours.a)40000b)45025c)48025d)50025e)52025Correct answer is option 'C'. Can you explain this answer?
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