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02 Apr 2020, 11:44
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
54% (02:13) correct
46%
(02:34)
wrong
based on 81
sessions
History
Date
Time
Result
Not Attempted Yet
Mayank buys some candies for $15 a dozen and an equal number of different candies for $12 a dozen. He sells all for $16.50 a dozen and makes a profit of $150. How many dozens of candies did he buy altogether?
A. 50
B. 45
C. 40
D. 30
E. 25
A. 50
B. 45
C. 40
D. 30
E. 25
02 Apr 2020, 12:10
Kudos
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let, Number of candies he bought of type 1 = n dozen
Number of candies he bought of type 2 = n dozen
Total candies = 2n
SP = 16.5 * 2n =33n
CP = 12n +15n = 27n
Profit = SP-CP = 6n = 150
n = 25
Total candies = 2n = 50
Option (A)
Number of candies he bought of type 2 = n dozen
Total candies = 2n
SP = 16.5 * 2n =33n
CP = 12n +15n = 27n
Profit = SP-CP = 6n = 150
n = 25
Total candies = 2n = 50
Option (A)
Archit3110
Major Poster
03 Apr 2020, 06:47
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Bunuel
given
15x+12y
16.5x+16.5y-15x-12y=150
1.5x+4.5y=150
15x+45y=1500
x+3y=100
since x=y
4y=100
y=25=x
x+y=50
IMO A
