A labourer is engaged for 20 days on the condition that he will receive 280 for each day he works and will be fined 60 for each day he is absent. If he receives ? 2540 in all, for how many days did he remain absent?
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Answer:
He Remained absent for 9 days
Step-by-step explanation:
Total number of days = 20
Let the number of days for which the labor worked = x
So,
The days he remained absent = (20 - x)
A.T.Q.
The amount he receives for every working day = Rs. 280
The fine for every absent day = Rs. 60
The total amount he receives = Rs. 2540
So,
280x - (20 - x)280x−(20−x) × 60 = 254060=2540
⇒ 280x - 1200 + 60x = 2540280x−1200+60x=2540
⇒ 340x = 2540 + 1200340x=2540+1200
⇒ x =x= 37403740 ÷ 340340
∵ x = 11x=11
Thus, the number of days he worked = 11
∵ No. of days he was absent = 20 - 11 = 9 days.
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