Mr. Arun is on tour and he has rs.360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by rs.3. For how many days is mr. Arun out on tour
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Answer:20
Explanation:
Let Mr. Arun is on tour for x days
Then, according to the question,
Difference in expenses per day for original and extended tour = 3
360x−360x+4=3
=>1x−1x+4=3360=1120
x+4−xx(x+4)=1120
=>x(x+4)=4×120=480
=>x2+4x−480=0
=>x2+24x−20x−480=0
=>x(x+24)−20(x+24)=0
=> (x+24)(x−20)=0
Therefore, x = 20.
(we ignore -ve value of x, that is, -24 because days cannot be negative)
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