A person was given Rs.3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs.20. Find the number of days of his tour programme.
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Step-by-step explanation:
note * = square
no.of days×daily expenses=3000
final no of days = 3000/n
original no of days = 3000/n-5
20= 3000/n-5 --3000/n
20(n*-5n) = 3000n-3000n+15000
20n*-100n= 3000n-3000n+ 15000
20n*-100n-15000=0
n*-5n-750=0
n*-30n+25n-750=0
n(n-30)+25(n-30)=0
(n-30)(n+25)=0
n=30 , n= -25
n= -25 is neglected because days cannot me negative .
therefore , n=30
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