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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solutions #5067, #5068, #5069, and #5070 are correct. Fabulous!

#5071. 100 oranges are bought at the rate of $350 and sold at the rate of $48 per dozen. Find the percentage of profit or loss.

#5072. A man buys a bike for $1400 and sells it at a loss of 15%. What is the selling price of the bike?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solutions #5071 and #5072 are correct. Neat job!

#5073. Peter purchased a machine for $80,000 and spent $5000 on repair and $1000 on transport and sold it with 25% profit At what price did he sell the machine?

#5074. By selling an article for $100, a man gains $15. then, what is his gain percent?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solutions #5073 and #5074 are correct. Excellent!

#5075. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale price was $392, what was his profit?

#5076. The sale price of an article including the sales tax is $616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then what is 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: 86,436

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: 14,421

Hi bobbym,

The solutions #5075 and #5076 are correct. Marvelous!

#5077. Jacob bought a bike for a certain sum of money. He spent 10% of the cost on repairs and sold the bike for a profit of $1100. How much did he spend on repairs if he made a profit of 20%?

#5078. A trader buys a chair for $600 and sells it at a credit of 4 months. Reckoning money worth 6% per annum, find is gain percent.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solution #5077 is correct. Excellent!

Regarding #5078, you are correct. I missed a part of the problem. I am sorry. I have altered the problem:

*A trader buys a chair for $600 and sells it for $765 at a credit of 4 months. Reckoning money worth 6% per annum, find is gain percent.*

#5079. A property dealer sells a house for $630,000 and in the bargain makes a profit of 5%. Had he sold it for $500,000, then what percentage of loss or gain he would have made?

#5080. A shopkeeper sells one transistor for $840 at a gain of 20% and another one for $960 at a loss of 4%. Find his total gain or loss percent.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solutions #5078, #5079, and #5080 are all correct. Fantastic performance!

#5081. The ratio of the sale price and the cost price of an article is 7:5. What is the ratio to the profit and cost price of that article?

#5082. A man gains 20% by selling an article for a certain price. If he sells it at double the price, what would be the percentage of profit?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solution #5082 is perfect. Neat job!

#5083. At what profit percent must an article be sold so that by selling at half that price, there may be a loss of 30%?

#5084. The cost price of an article is 40% of the selling price. The percent that the selling price is of cost price is _______.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solution #5083 is correct. Neat work!

#5085. By selling an article, Michael earned a profit equal to one-fourth of the price he bought it. If he sold it for $375, what was the cost price?

#5086. 10% loss on selling price is what percent loss on the cost price?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solution #5085 is perfect. Neat job!

#5087. If loss is 1/3 of selling price, find the loss percentage.

#5088. If the cost price of 12 pens is equal to the selling price of 8 pens, find the gain percent.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solutions #5087 and #5088 are correct. Neat job!

#5089. The profit earned by selling an article for $900 is double the loss incurred then the same article is sold for $450. At what price should the article be sold to make a profit of 25%?

#5090. The profit earned by selling an article for $832 is equal to the loss incurred when the same article is sold for $448. What should be the sale price for making 50% profit?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solutions #5089 and #5090 are correct. Excellent!

#5091. The cost price of 19 articles is equal to the selling price of 16 articles. Find the gain percent.

#5092. If the selling price of 50 articles is equal to the cost price of 40 articles, then find the gain or loss percent.

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,421

Hi bobbym,

#5093. Find the area of a right-angled triangle whose base is 12 centimeters and hypotenuse 13 centimeters.

#5094. The base of a triangular field is three times its altitude. If the cost of cultivating the field at $24.68 per hectare be $333.18, find its base and height.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,436

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: 14,421

Hi bobbym,

The solutions #5091, #5092, and #5093 are correct. Remarkable!

The solution #5094 is correct too, the solution is to be stated: Base : 900 meters, Altitude : 300 meters. Good work!

#5095. Find the length of the altitude of an equilateral triangle of side

centimeters.#5096. In two triangles, the ratio of the areas is 4:3 and the ratio of their heights is 3:4. Find the ratio of their bases.

Character is who you are when no one is looking.

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