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Question

Mathematics Question on Number Systems

A person on tour has Rs 360 for his daily expenses. He decides to extend his tour programme by 4 days which leads to cutting down daily expenses by Rs 3 a day. The number of days of his tour programme is

A

15

B

20

C

18

D

16

Answer

20

Explanation

Solution

Person's daily expenses == Rs xx
Number of days tour lasts = yy days
So, x×y=360x \times y=360
(x3)(y+4)=360(x-3)(y+4)=360
Solving equations (i) and (ii), we get
y=20y=20 or 24-24 (not possible)
\therefore y=20y=20 days
The correct option is (B)