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14 Apr 2022, 08:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
71% (02:41) correct
29%
(03:05)
wrong
based on 236
sessions
History
Date
Time
Result
Not Attempted Yet
Mr. Ram is on tour and he has $360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by $3. The number of days of Mr. Ram's tour is
A. 28 Days
B. 24 Days
C. 22 Days
D. 20 Days
E. 19 Days
A. 28 Days
B. 24 Days
C. 22 Days
D. 20 Days
E. 19 Days
14 Apr 2022, 08:29
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Given: Mr. Ram is on tour and he has $360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by $3.
Asked: The number of days of Mr. Ram's tour is
Let the number of days of Mr Ram's tour be x and daily expenses be y.
$360 = xy = (x+4)(y-3)
(x+4)(360/x - 3) = 360
360 + 360*4/x - 3x - 12 = 360
x^2 + 4x - 480 = 0
x^2 + 24x - 20x - 480 = 0
(x-20)(x+24) = 0
x = 20 days
IMO D
Asked: The number of days of Mr. Ram's tour is
Let the number of days of Mr Ram's tour be x and daily expenses be y.
$360 = xy = (x+4)(y-3)
(x+4)(360/x - 3) = 360
360 + 360*4/x - 3x - 12 = 360
x^2 + 4x - 480 = 0
x^2 + 24x - 20x - 480 = 0
(x-20)(x+24) = 0
x = 20 days
IMO D
12 Jan 2025, 09:13
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Check from options. Let E be the daily expenses and T be no. of days.
T*E= 360
From the options only B and D satisfies this condition.
Take option D, T=20 that way E= 18
(20+4)(18-3)= 24*15 =360. Hence the answer is D
T*E= 360
From the options only B and D satisfies this condition.
Take option D, T=20 that way E= 18
(20+4)(18-3)= 24*15 =360. Hence the answer is D
