a woman has Rs 10,000 with her . she calculated that she could Rs x everyday o her holidays . she spend Rs (x-50) everyday and extended her holidays by 10 days. calculate x.
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Let the no. of days she need to spend be y
The amount she will spend in one day be x
Therefore, xy = 10000 ------- (1)
x = 10000/y ------ (2)
A/c to condition,
When amount of money be reduced by 50 then she could get 10 more days
So, (x-50)(y+10)=10000
Xy+10x-50y-500=10000
10000+10x-50y-500=10000
10x-50-500=0
From (2),
10000/y-5y-50=0
5y2+50y-10000=0
y2+10y-2000=0
Y2+50y-40y-2000=0
y=40
Therefore x=₹250
The amount she will spend in one day be x
Therefore, xy = 10000 ------- (1)
x = 10000/y ------ (2)
A/c to condition,
When amount of money be reduced by 50 then she could get 10 more days
So, (x-50)(y+10)=10000
Xy+10x-50y-500=10000
10000+10x-50y-500=10000
10x-50-500=0
From (2),
10000/y-5y-50=0
5y2+50y-10000=0
y2+10y-2000=0
Y2+50y-40y-2000=0
y=40
Therefore x=₹250
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