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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,557

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi ShivamS and bobbym,

The solution #1827 is correct. Excellent, ShivamS and bobbym!

#1828. An article is sold at a certain price. By selling it at

of that price, one loses 10%. Find the gain percent at original price.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

#1829. A tradesman sold an article at a loss of 20%. If the selling price had been increased by $100, there would have been a gain of 5%. What was the cost price of the article?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1829 is correct. Neat job!

#1830. A man bought a horse and a carriage for $3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1830 is perfect. Good work!

#1831. A retailer buys 40 pens at the marked price of 36 pens from a wholesaler. If he sells three pens giving a discount of 1%, what is the profit percent?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1831 is correct. Neat job!

#1832. At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5%?

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

#1833. Sam purchased 20 dozens of toys at the rate of $375 per dozen. He sold each one of them at the rate of $33. What was his percentage profit?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1833 is perfect. Neat job!

You missed problem #1832. I have reproduced it again now.

*#1832. At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5%?*

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solutions #1832 and #1833 are correct. Excellent!

(PS : The solution #1832 I get is 40%, not 40.35%)

#1834. 'A' sells an article which costs him $400 to 'B' at a profit of 20%. 'B' then sells it to 'C', making a profit of 10% on the price he paid to 'A'. How much does 'C' pay 'B'?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1834 is perfect. Good work!

#1835. When a commodity is sold for $34.80, there is a loss of 2%. What is the cost price of the commodity?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1835 is correct. Neat job!

#1836. Formulate the problem as a pair of equations and hence find their solution:

One number is greater than thrice the other number by 2. If 4 times the smaller number exceeds the greater number by 5, find the numbers.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1836 is correct. Marvelous!

#1837. The ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3. If each of them manages to save $2000 per month, find their monthly income.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi bobbym,

The solution #1837 is correct. Neat job!

#1838. Three chairs and two tables cost $700 and five chairs and three tables cost $1100. What is the cost of 2 chairs and 3 tables?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,249

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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