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29 Jan 2020, 04:28
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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:
5%
(low)
Question Stats:
92% (01:06) correct
8%
(01:37)
wrong
based on 48
sessions
History
Date
Time
Result
Not Attempted Yet
The sale price of an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
A. $60
B. $80
C. $100
D. $150
E. $200
A. $60
B. $80
C. $100
D. $150
E. $200
firas92
Current Student
Joined: 16 Jan 2019
Last visit: 02 Dec 2024
Posts: 616
Own Kudos:
Given Kudos: 142
Location: India
Concentration: General Management
Schools: Tepper '23 (M$) Foster '23 (D)
GMAT 1: 740 Q50 V40
WE:Sales (Other)
Products:
29 Jan 2020, 05:02
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CP + CP*0.25 = Integer or,
CP + CP/4 = Integer
From the options, CP is an integer
So CP/4 must be an integer
All the options except D are divisible by 4 and will yield an integer for CP/4
Answer is (D)
CP + CP/4 = Integer
From the options, CP is an integer
So CP/4 must be an integer
All the options except D are divisible by 4 and will yield an integer for CP/4
Answer is (D)
29 Jan 2020, 05:42
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Bunuel
Solution
Step 1: Understand Question Statement
- • The sale price of an article is 25% more than its cost price.
• The sale price is an integer.
Step 2: Define Methodology
- • Let us assume the sale price and cost price of the article (in dollars) as SP and CP, respectively.
- o \(SP = CP + CP*\frac{25}{100}\)\( = CP*(1+\frac{25}{100}) =CP*\frac{125}{100} =CP*\frac{5}{4}\)
- o This means, CP must be a multiple of 4.
Step 3: Calculate the final answer
- • Option A: $60
- o \(\frac{60}{4} =15\); So, it is a multiple of 4.
- o \(\frac{80}{4} =20\); So, it is a multiple of 4.
- o \(\frac{100}{4} =25\); So, it is a multiple of 4.
- o \(\frac{150}{4} =\frac{75}{2 }\)which is not an integer. So, clearly 150 is not a multiple of 4.
- o \(\frac{200}{4} =50\); So, it is a multiple of 4.
Thus, the correct answer is Option D.
