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Byju's Answer
Standard XII
Mathematics
Constraints
A woman has R...
Question
A woman has Rs 10,000 with her. She calculated that she could spend Rs x everyday on her holidays, She spends Rs(x-50) everyday and extended her holidays by 10 days.Calculate x.
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Solution
Let the no .of holidays be
y
Spending
x
per day
x
y
Total money she has
10
,
000
⟹
x
y
=
10
,
000
Similarly According to the question
(
x
−
50
)
(
y
+
10
)
=
10
,
000
x
y
+
10
x
−
50
y
−
500
=
10
,
000
x
−
5
y
−
50
=
0
x
=
5
y
+
50
y
(
5
y
+
50
)
=
10
,
000
y
2
+
10
y
=
2000
y
2
+
50
y
−
40
y
−
2000
=
0
(
y
−
40
)
(
y
+
50
)
=
0
y
=
40
,
−
50
⟹
x
=
250
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