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A diligent man was engaged on a job for 40 days on the condition that he will get a wage of Rs. 180 for the day he works, but he will have to pay a fine of Rs. 20 for each day of his absence. If he gets Rs. 5200 at the end of the 40 days, then, he was absent for how many days? 
  • a)
    12 days 
  • b)
    10 days 
  • c)
    6 days 
  • d)
    8 days 
Correct answer is option 'B'. Can you explain this answer?
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A diligent man was engaged on a job for 40 days on the condition that ...
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A diligent man was engaged on a job for 40 days on the condition that ...
Given:
- The man was engaged on a job for 40 days.
- He will receive Rs. 180 for each day he works.
- He will have to pay a fine of Rs. 20 for each day of his absence.
- He received a total of Rs. 5200 at the end of the 40 days.

To find:
The number of days the man was absent.

Solution:
Let's assume the number of days the man was absent is 'x'.

The total amount he received for working for 40 days is:
40 * Rs. 180 = Rs. 7200

The total amount he paid as a fine for x days of absence is:
x * Rs. 20 = Rs. 20x

Therefore, the total amount he received after deducting the fine is:
7200 - 20x

According to the given information, he received Rs. 5200, so we can write the equation:
7200 - 20x = 5200

Simplifying the equation:
-20x = 5200 - 7200
-20x = -2000

Dividing both sides of the equation by -20:
x = -2000 / -20
x = 100

Therefore, the man was absent for 100/20 = 5 days.

Answer:
The man was absent for 5 days, which is option C.
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