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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,431

Hi bobbym,

The solution #4311 is correct. Good work!

#4313. The sum of the number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total number of students. What is the number of boys?

#4314. In an examination of n questions, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered one-third correctly. All the questions have the same credit. If the student gets 50% marks, what is the value of n?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solutions #4313 and #4314 are correct. Superlative!

#4315. What percent decrease in salaries would exactly cancel out the 20 percent increase?

#4316. A number is increased by 20% and then again by 20%. By what percent should the increased number be reduced so as to get back the original number?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solutions #4315 and #4316 are correct. Splendid!

#4317. The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent would his expenses for tea be decreased?

#4318. Entry fee in an exhibition was $1. Later, this was reduced by 25% which increased the sale by 20%. What is the percentage increase in the number of visitors?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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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**Denominator****Member**- Registered: 2009-11-23
- Posts: 155

Hello Ganesh

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,431

Hi bobbym and Denominator,

bobbym : The solutions #4317 and #4318 are correct. Excellent!

Denominator : The solution #4317 is correct. Good work!

#4319. If the price of gas is increased by 30%, by how much percent a car owner must reduce his consumption in order to maintain the same budget?

#4320. In a fraction, the numerator is increased by 40% and the denominator is increased by 80%, then what fraction of the original is the new fraction?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solutions #4319 and #4320 are correct. Magnificent!

#4321. If the price of sugar rises from $6 per kilogram to $7.5 per kilogram, a person, to have no increase in his expenditure on sugar, would have to reduce his consumption of sugar by what percent?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solution #4321 is correct. Good work!

#4322. The population of a town was 160,000 three years ago. If it increased by 3%, 2.5%, and 5% respectively in the last three years, then what is the present population?

#4323. The population of a town 2 years ago was 62,500. Due to migration to big cities, it decreases every year at the rate of 4%. What is the present population of the town?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solutions #4322 and #4323 are correct. Excellent!

#4324. The population of a town increases by 5% annully. If its population in 2001 was 138915, what was it in 1998?

#4325. The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is $8748, what was its purchase price?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solutions #4324 and #4325 are correct. Good work!

#4326. The population of a town increases 4% annully but is decreased by emigration to the extent of 0.5% What would the increase percent in 3 years?

#4327. The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. What is the net growth rate in terms of population increase in percent?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solution #4327 is perfect. Good work!

#4328. A's salary is 50% more than B's. How much percent is B's salary less than A's?

#4329. If A's height is 40% less than of B, how much percent B's height is more than that of A?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solutions #4328 and #4329 are correct. Good work!

#4330. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number less than the first?

#4331. Two numbers are respectively 12.5% and 25% more than a third number. What is the first number as a percentage of the second number?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solutions #4330 and #4331 are correct. Brilliant!

#4332. 5% of income of A is equal to 15% of income of B and 10% of income of B is equal to 20% of income of C. If C's income is $2000, then what is the total income of A, B, and C?

#4333. Peter earned 40% more money than Albert. Albert earned 20% less than Michael. By what percent Peter earned more than Michael?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

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: 14,431

Hi bobbym,

The solution #4333 is correct. Good work!

#4334. How much pure alcohol has to be added to 400 milliliters of a solution containing 15% alcohol to change the concentration of alcohol in the mixture to 32%?

#4335. Milk contains 5% water. What quantity of pure milk ought to be added to 10 liters of milk to reduce this to 2%?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

Hi;

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

Combinatorics is Algebra and Algebra is Combinatorics.

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