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Question
An employee works in a company on a contract of 30 days on the condition that he will receive Rs. 120 for each day he works and he will be fined Rs. 10 for each day he is absent. If he receives Rs. 2300 in all, for how many days did he remain absent?
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Solution
Given, total number of days in contract = 30
Money received per day for working = ₹ 120
Money deducted per day for being absent = ₹ 10
And amount received by employee as salary = ₹ 2300
Let the employee remained absent for x days.
Then, employee worked for (30 – x) days.
According to the question,
120(30 – x) – 10x = 2300
⇒ 3600 – 120x – 10x = 2300
⇒ – 130x = – 3600 + 2300
⇒ – 130x = – 1300
⇒ x = `-1300 xx ((-1)/130)`
∴ x = 10
Therefore, employee remained absent for 10 days.
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