Question

Question 100

Solve the following:

A man was engaged as typist for the month of february in 2009. He was paid Rs. 500 per day, but Rs. 100 per day were deducted for the days he remained absent. He received Rs. 9100 as salary for the month. For how many days did he work?

Answer 1

Let the man worked as a typist for x days in the month of February 2009.
Then, absent in the month of February 2009=(29-x) days [we know that, number of days in month of February 2009 is 29]
Per day payment= Rs. 500
Total paid amount for working days =Rs. 500x
And per day deduction, when he remained absent=Rs. 100
Total amount deducted for being absent= Rs. $100\times (29-x)$
Given, salary received by man for the month of February is Rs. 9100.
According to the question,
500x-100(29-x)=9100
$\Rightarrow 500x-2900+100x=9100\Rightarrow 600x=9100+2900\Rightarrow 600x=12000\Rightarrow x=\frac{12000}{600}\therefore x=20$
Therefore, the man worked for 20 days.