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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:
85%
(hard)
Question Stats:
47% (03:16) correct
53%
(03:48)
wrong
based on 15
sessions
History
Date
Time
Result
Not Attempted Yet
John buys nails from a wholesale hardware dealer at the rate of Rs 100 per kg, during which he uses his own false weights to count 1250g instead of 1 kg. Also, while selling at the same price, he again cheats a shopkeeper by selling only 800g instead of 1 kg. What is the overall profit for John (in Rs per kg)?
A. 24
B. 28
C. 32
D. 36
E. 40
(adapted from gmatfree)
A. 24
B. 28
C. 32
D. 36
E. 40
(adapted from gmatfree)
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Siddharth108
Joined: 27 Sep 2020
Last visit: 16 Mar 2023
Posts: 6
Given Kudos: 113
Location: India
Schools: Rotman '25 (S) Schulich Sep'23 intake (A)
GMAT 1: 690 Q48 V36
GMAT 2: 700 Q48 V38
02 Sep 2022, 06:28
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John buys nails from a wholesale hardware dealer at the rate of Rs 100 per kg, during which he uses his own false weights to count 1250g instead of 1 kg. Also, while selling at the same price, he again cheats a shopkeeper by selling only 800g instead of 1 kg. What is the overall profit for John (in Rs per kg)?
--> Using false weights, his cost price has decreased from INR 100/kg to INR 80/kg [INR 100/1.25 kg].
He sells at the same price of INR 100/kg, however using false weights again, he sells only 800g. Thus, his selling price has gone up from INR 100/kg to INR 125/kg [INR 100/0.80kg].
While in total terms, he has only recouped his investment, he still has 0.450 kg left with him, for which he has paid not a single paisa. He has practically gained the cost of this 0.45 kg,
i.e. INR 80/kg [his original cost price] x 0.450 kg = INR 36.
Thus, answer IMO = D.
--> Using false weights, his cost price has decreased from INR 100/kg to INR 80/kg [INR 100/1.25 kg].
He sells at the same price of INR 100/kg, however using false weights again, he sells only 800g. Thus, his selling price has gone up from INR 100/kg to INR 125/kg [INR 100/0.80kg].
While in total terms, he has only recouped his investment, he still has 0.450 kg left with him, for which he has paid not a single paisa. He has practically gained the cost of this 0.45 kg,
i.e. INR 80/kg [his original cost price] x 0.450 kg = INR 36.
Thus, answer IMO = D.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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