Question

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

Answer 1

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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