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A man cheats while buying as well as while selling. While [#permalink]
01 Jul 2012, 21:02
2
This post received KUDOS
Expert's post
13
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00:00
A
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Difficulty:
75% (hard)
Question Stats:
55% (03:32) correct
45% (02:00) wrong based on 107 sessions
Responding to a pm:
A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 9.09% below the cost price of the claimed weight.
Options:
A. 19.81%
B. 20%
C. 37.5%
D. 25%
E. 37.5%
In weight questions, try to go one step at a time. Say the man buys 100 pounds for $100. But he cheats and takes 110 pounds. This means HIS cost price is $10/11 per pound. While giving 100 pounds, he actually gives only 80 pounds and charges 9.09% less i.e. 1/11 less than the cost price of 100 pounds which is $100. So he sells at 10/11 * 100 = 1000/11 HIS cost price for 80 pounds = 10/11 * 80 = 800/11 HIS selling price for 80 pounds = 1000/11
There is a one step calculation method too. It requires more thought but is faster. The man takes 10% more than what he pays for. So if he claims to take 100 pounds, he pays $100 but he actually takes 110 pounds for which he will take from the customer $110. Hence, in effect, there is a 10% mark up. While selling, he sells 20% less. This means, he claims to sell 100 pounds and gets $100 but actually sells only 80 pounds and should have got only $80 for it. So this is again a mark up of $20 on $80 which is 25%. But he also sells at 9.09% less i.e. gives a discount of 1/11.
second approach seems to be easy after reading your blog post. i am still having a hard time while trying to understnad this line 'While giving 100 pounds, he actually gives only 80 pounds and charges 9.09% less i.e. 1/11 less than the cost price of 100 pounds which is $100. ' _________________
kudos me if you like my post.
Attitude determine everything. all the best and God bless you.
second approach seems to be easy after reading your blog post. i am still having a hard time while trying to understnad this line 'While giving 100 pounds, he actually gives only 80 pounds and charges 9.09% less i.e. 1/11 less than the cost price of 100 pounds which is $100. '
The man claims he is giving you 100 pounds i.e. selling you 100 pounds of product. He is supposedly giving a discount of 9.09% i.e. charging 1/11 less than the cost price of 100 pounds which is $100. So he is charging only 10/11 of $100 = $1000/11 from you for giving you "100 pounds". But actually, by cheating, he gave you only 80 pounds. So he charged you $1000/11 for 80 pounds. Think of a fruit vendor you go to to buy some peaches. He says the cost price of the peaches is $1 per pound. But he is willing to give you a discount of 9.09%. But instead of 100 pounds of peaches, he weighs only 80 pounds and gives you less. Though he charges you for 100 pounds. How much does he charge? 9.09% less than 100 pounds i.e. 1/11 less than 100 pounds i.e. 10/11 * 100 pounds = 1000/11
Re: A man cheats while buying as well as while selling. While [#permalink]
18 Jun 2014, 04:03
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Re: A man cheats while buying as well as while selling. While [#permalink]
24 Jul 2014, 10:18
VeritasPrepKarishma wrote:
There is a one step calculation method too. It requires more thought but is faster. The man takes 10% more than what he pays for. So if he claims to take 100 pounds, he pays $100 but he actually takes 110 pounds for which he will take from the customer $110. Hence, in effect, there is a 10% mark up. While selling, he sells 20% less. This means, he claims to sell 100 pounds and gets $100 but actually sells only 80 pounds and should have got only $80 for it. So this is again a mark up of $20 on $80 which is 25%. But he also sells at 9.09% less i.e. gives a discount of 1/11. (1 + m1%)(1 + m2%)(1 - d%) = (1 + p%) 11/10 * 5/4 * 10/11 = (1 + p%) profit % = 25%
Re: A man cheats while buying as well as while selling. While [#permalink]
24 Jul 2014, 19:53
1
This post received KUDOS
Expert's post
GGMAT760 wrote:
VeritasPrepKarishma wrote:
There is a one step calculation method too. It requires more thought but is faster. The man takes 10% more than what he pays for. So if he claims to take 100 pounds, he pays $100 but he actually takes 110 pounds for which he will take from the customer $110. Hence, in effect, there is a 10% mark up. While selling, he sells 20% less. This means, he claims to sell 100 pounds and gets $100 but actually sells only 80 pounds and should have got only $80 for it. So this is again a mark up of $20 on $80 which is 25%. But he also sells at 9.09% less i.e. gives a discount of 1/11. (1 + m1%)(1 + m2%)(1 - d%) = (1 + p%) 11/10 * 5/4 * 10/11 = (1 + p%) profit % = 25%
Re: A man cheats while buying as well as while selling. While [#permalink]
25 Jul 2014, 01:09
VeritasPrepKarishma wrote:
GGMAT760 wrote:
VeritasPrepKarishma wrote:
There is a one step calculation method too. It requires more thought but is faster. The man takes 10% more than what he pays for. So if he claims to take 100 pounds, he pays $100 but he actually takes 110 pounds for which he will take from the customer $110. Hence, in effect, there is a 10% mark up. While selling, he sells 20% less. This means, he claims to sell 100 pounds and gets $100 but actually sells only 80 pounds and should have got only $80 for it. So this is again a mark up of $20 on $80 which is 25%. But he also sells at 9.09% less i.e. gives a discount of 1/11. (1 + m1%)(1 + m2%)(1 - d%) = (1 + p%) 11/10 * 5/4 * 10/11 = (1 + p%) profit % = 25%
Re: A man cheats while buying as well as while selling. While [#permalink]
08 Oct 2015, 03:27
VeritasPrepKarishma wrote:
There is a one step calculation method too. It requires more thought but is faster. The man takes 10% more than what he pays for. So if he claims to take 100 pounds, he pays $100 but he actually takes 110 pounds for which he will take from the customer $110. Hence, in effect, there is a 10% mark up. While selling, he sells 20% less. This means, he claims to sell 100 pounds and gets $100 but actually sells only 80 pounds and should have got only $80 for it. So this is again a mark up of $20 on $80 which is 25%. But he also sells at 9.09% less i.e. gives a discount of 1/11.
Re: A man cheats while buying as well as while selling. While [#permalink]
08 Oct 2015, 20:43
Expert's post
anik19890 wrote:
VeritasPrepKarishma wrote:
There is a one step calculation method too. It requires more thought but is faster. The man takes 10% more than what he pays for. So if he claims to take 100 pounds, he pays $100 but he actually takes 110 pounds for which he will take from the customer $110. Hence, in effect, there is a 10% mark up. While selling, he sells 20% less. This means, he claims to sell 100 pounds and gets $100 but actually sells only 80 pounds and should have got only $80 for it. So this is again a mark up of $20 on $80 which is 25%. But he also sells at 9.09% less i.e. gives a discount of 1/11.
can you please clear about (1+m2)= 5/4?? i can not understand fro m where did u get this.
There are two mark ups in this question - the first mark up of 10% (he takes 110 pounds for which he will get $110 though he pays only $100 for it - that is a 10% mark up) - this gives you 1 + 10/100 = 11/10 the second mark up of 25% (he gives only 80 pounds for which he had paid $80 but charges $100 for it - the markup of $20 on $80 cost price is a 25% mark up) - this gives you (1 + 25/100) = 5/4 _________________
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