A labourer is engaged for 20 days on the condition that he will receive ₹120 for each day he works and will be fined ₹10 for each day he is absent. if he receives ₹1880 in all, for how many days did he remain absent
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He remained absent for 4 days.
Explanation:
Let, the total number of days he remained absent be, 'n'.
∴ The number of days he remained present = (20-n)
∴ His earning = Rs (20-n)× 120
= Rs (2400 - 120n)
∴ His fine = Rs (10×n)
= Rs (10n)
According to the given problem,
(2400-120n) - (10n) = 1880
⇒ 2400 - 130n = 1880
⇒ -130n = 1880 -2400
⇒ -130n = -520
⇒ 130n = 520
⇒ n = 520/130
⇒ n = 4
∴ He remained absent for 4 days.
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