a man was engaged as typist for the month of February in 2009. he was paid rupees 500 per day but rupees 100 per day were deducted for the days he remend absent. he received rupees 9100 as salary for the month. for how many days did he work?
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Answers & Comments
Answer:
Let the man worked as a typist for
x
days in the month of February
2009.
Then, absent in the month of February
number of days in month of February 2009 is 28]
Per day payment
=
R
s
.
500
Total paid amount for working days
=
R
s
.
500
x
And per day deduction, when he remained absent
=
R
s
.
100
Total amount deducted for being absent
=
R
s
.
100
×
(
28
−
x
)
Given, salary received by man for the month of February is
R
s
.
9100.
According to the question, we have
500
x
−
100
(
28
−
x
)
=
9100
⇒
500
x
−
2800
+
100
x
=
9100
⇒
600
x
=
9100
+
2800
⇒
600
x
=
11900
⇒
x
=
11900
600
∴
x
=
19.83
=
20
(approx)
Therefore, the man worked for
20
days.
Verified answer
Given :
per day payment = Rs 500
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, maximum number of days in February is 29]
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 × (29-x)
Given
salary received by man for thee month of February is Rs 9100
According to the question,
500x - 100×(29-x) = 9100
500x - 2900 + 100x = 9100
600x = 9100 + 2900
600x = 12000
x = 12000 ÷ 600
x = 20
x = 20
Hence,
The man worked for 20 days