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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym and Denominator,

The solutions

andIt is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi ganesh;

I got those in post #4100

Sorry, but what does proportional mean?

I don't really get this!

Hi Denominator;

Did you google for them? Are you just stuck on mean and third and fourth proportional or more basic than that?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym and Denominator,

The solutions #4255 and #4256 are correct, bobbym! Excellent!

#4257. If $782 is divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is __________________

#4258. If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is _________________

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**dlamacharles****Member**- Registered: 2012-08-19
- Posts: 3

7, 14, 21, 28,....

a=7

d=7

n=?

Tn=98

Tn=a+(n-1)d

n=14

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**dlamacharles****Member**- Registered: 2012-08-19
- Posts: 3

Proportion is a factor of equality.

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

Yeah, I understand what proportion is, but I just didn't understand it in the context of 4255 and 4256

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym and Denominator,

The solutions #4257 and #4258 are correct. Excellent!

#4259. 85 kilograms of a mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1?

#4260. The ages of A and B are in the ratio 3 : 1. Fifteen years hence, the ratio would be 2 : 1. Find their present ages.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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

Hello

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym and Denominator,

bobbym : The solution #4260 is correct. Well done!

Denominator : Both the solutions are correct. Excellent!

#4261. The speeds of three cars are in the ratio 5 : 4 : 6. The ratio in the time taken by them to travel the same distance is _________ .

#4262. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, what is the total number of students in the college?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,018

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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

Hello

*Last edited by Denominator (2012-08-21 07:25:41)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi anonimnystefy, bobbym, and Denominator,

The solution #4261 and #4262 are correct. Excellent!

#4263. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship?

#4264. In a school, 10% of the boys are same in number as 1/4 th of the girls. What is the ratio of boys to girls in that school?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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

Hello

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym and Denominator,

Correct, bobbym! Good work!

The solution #4264 is correct, bobbym and Denominator! Neat work!

#4265. The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves $1600, then the income of A is ____________

#4266. Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kilograms of zinc has been consumed in it?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym,

The solutions #4265 and #4266 are correct. Brilliant!

#4267. An alloy is to contain copper and zinc in the ratio 9 : 4. The zinc required to be melted with 24 kilograms of copper is _____________

#4268. 60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, then the amount of tin in the new alloy is ________________

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym,

The solutions #4267 and #4268 are perfect. Excellent!

#4269. Find the fourth proportional to 4, 9, 12.

#4270. Find the third proportional to 16 and 36.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,751

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 22,050

Hi bobbym,

The solutions #4269 and #4270 are correct. Good work!

#4271. A fruitseller sells mangoes at the rate of $9 per kilogram and thereby loses 20%. At what price per kilogram, he should have sold them to make a profit of 5%?

#4272. 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?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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