A labour is engaged on work for 20 days on the condition that he will receive 60 rupees for each Day he works. And he will be fined 5 rupees for each Day he is absent . If he receives 740 rupees in all for how many days he remained absent?
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Let a = number of days absent
then
(20-a) = number of days worked
:
Pay amt - fine amt = 745
60(20-a) - 5a = 745
1200 - 60a - 5a = 745
-65a = 745 - 1200
-65a = -455
a = %28-455%29%2F%28-65%29
a = 7 days absent
:
:
Check this, he worked 13 days so we have:
13(60) - 7(5) =
780 - 35 = 745; confirms our solution
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