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Aptitude - Ratio and Proportion - Discussion

@ : Home > Aptitude > Ratio and Proportion > General Questions - Discussion

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"When ambition ends, happiness begins."
- (Proverb)
10. 

If Rs. 782 be divided into three parts, proportional to : : , then the first part is:

[A]. Rs. 182[B]. Rs. 190
[C]. Rs. 196[D]. Rs. 204

Answer: Option A

Explanation:

Given ratio = : : = 6 : 8 : 9.

1st part = Rs. 782 x 6 = Rs. 204
23


Green Violet said: (Sat, Jun 5, 2010 11:35:51 AM)    
 
In wat way the ratio 1/2 : 2/3 : 3/4 is written as 6:8:9 ?

Answer Me said: (Wed, Jun 23, 2010 08:38:15 AM)    
 
How did 6/23 come? Can anyone please explain?

Satish said: (Thu, Jun 24, 2010 01:39:27 AM)    
 
Multiply 1/2 with 6, 2/3 with 4 and 3/4 with 3 so that numerator is same i.e. 12, hence 6:8:9

First part is 6 upon sum of 6+8+9=23 i.e. 6/23

Shreenath said: (Tue, Aug 17, 2010 02:04:01 PM)    
 
How 1/2 is attained as 6 2/3 as 8 and 3/4 as 9 and how for calculating the first part the number is multiplied by 6/23 ?

Priya said: (Tue, Oct 12, 2010 05:44:10 AM)    
 
The LCM of all the denominators is 12. So multiply the number and denominator with 6 to make 1/2 as 6/12, multiply 2/3 with 4. So that it becomes 8/12 and multiply 3/4 with 3 to make 9/12. Now the new ratio will be:

6/12, 8/12, 9/12.

Now cancelling 12 we will get 6, 8, 9.

Angel said: (Wed, Feb 2, 2011 01:22:18 AM)    
 
You just need to multiply every ratio by 12 because it is the lcm of denominators.

Susant said: (Thu, Feb 3, 2011 03:45:25 AM)    
 
@Priya

Thanks so much priya.

Sushil M said: (Sun, Apr 17, 2011 06:51:37 PM)    
 
In wat way the ratio 1/2 : 2/3 : 3/4 is written as 6:8:9 ?

How's its come can u explain clearly ????

Kannan said: (Tue, Apr 26, 2011 05:36:22 AM)    
 
Taking lcm for 2, 3, 4 and we got 12. Then the numerators 6, 8, 9 were used.

Hemant said: (Sun, May 8, 2011 06:10:03 AM)    
 
1/2 : 2/3 : 3/4 is written as 6:8:9 ?
plz explain

Suman said: (Thu, Jun 9, 2011 01:21:11 AM)    
 
1/2:2/3:3:4 is written as 6:8:9

how can you explain? plz explain clearly.

Shalu said: (Tue, Jun 14, 2011 08:05:33 AM)    
 
1:2 is multiplyed by 6/6 then it will be 6/12,in second case 2:3 is multiplyed by 4/4 then 8/12, and 3:4 multyplyed by 3/3 then 9/12; it is done because of doing denominators equal,new ratio becomes 6:8:9.

Ranjani said: (Tue, Jul 5, 2011 11:24:27 AM)    
 
Given :1/2:2/3:3/4=782

Let x b a part of 782 whn divided into 3 parts
(1/2)x:(2/3)x:(3/4)x=782

Take lcm we get
(6x+8x+9x)/12=782
23x=782*12
x=9384/23=408

Now we need 1 part so (1/2)*408 = 204.

Sanchit said: (Sat, Aug 6, 2011 11:50:05 AM)    
 
Good ranjani. Your method is good :)

Raj said: (Sun, Aug 14, 2011 09:08:56 PM)    
 
See their value is 1/2:2/3:3/4

Then take LCM 2,3,4 it's come 12

Then, (1/2:2/3:3/4)/12

Then 12/2=6 then 6*1=6
12/3=4 then 4*2=8
12/4=3 then 3*3=9

This way we find the 6:8:9.

Sushma said: (Wed, Aug 17, 2011 06:24:40 PM)    
 
The given ratios are=1/2:2/3:3/4

Then take the LCM Of the denominator of ratios(2,3,4=12)

Then divide each ratio with 12. for eg:- 1/2*12=6.

Prapurna said: (Tue, Sep 20, 2011 10:27:26 PM)    
 
I liked Ranjani's way of solving

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