Aptitude - Ratio and Proportion - Discussion
Discussion Forum : Ratio and Proportion - General Questions (Q.No. 10)
10.
If Rs. 782 be divided into three parts, proportional to 
: 
: 
, then the first part is:
: : , then the first part is:
Answer: Option
Explanation:
Given ratio = : : = 6 : 8 : 9.
 1st part = Rs. |
 |
782 x | 6 |  |
= Rs. 204 |
| 23 |
Discussion:
97 comments Page 2 of 10.
Arunkumar said:
5 years ago
Consider, Y = 1/2:2/3:3/4
X = 782.
In question they said proportional,
Then X proportional to Y.
Also, X=xY.
Then LCM for Y term is 12,
From solving we can find the value of x.
Then multiply the value of x with 1:2.
X = 782.
In question they said proportional,
Then X proportional to Y.
Also, X=xY.
Then LCM for Y term is 12,
From solving we can find the value of x.
Then multiply the value of x with 1:2.
Sonal said:
10 years ago
Given:- Amount = Rs. 782.
Ratios = 1/2:2/3:3/4.
Add the given ratios = 1/2+2/3+3/4 = 23/12.
To find the first part = given amount * first part ratio/total value of the ratios.
= 782*[ (1/2) / (3/4) ].
Answer = 204.
Ratios = 1/2:2/3:3/4.
Add the given ratios = 1/2+2/3+3/4 = 23/12.
To find the first part = given amount * first part ratio/total value of the ratios.
= 782*[ (1/2) / (3/4) ].
Answer = 204.
Prashant said:
8 years ago
1st take the LCM of all denominators i.e 2,3,4 is 24 then multiply each ratio by 24. 1/2*24=12 , 2/3*24=16, 3/4*24=18.
Therefore ans is 12:16:18.
i.e 6:8:9. That's over
Therefore ans is 12:16:18.
i.e 6:8:9. That's over
S.MANIKANDAN said:
9 years ago
Given data.
1/2 : 2/3 : 3/4 = 782.
=> (1/2)x:(2/3)x:(3/4)x = 782.
=> x/2 + 2x/3 + 3x/4 = 782.
L.C.M(2,3,4) = 12.
(6x+8x+9x)/12 = 782.
23x = 782 * 12.
x = 9384/23.
X = 408.
First part= (1/2) * 408 = 204.
1/2 : 2/3 : 3/4 = 782.
=> (1/2)x:(2/3)x:(3/4)x = 782.
=> x/2 + 2x/3 + 3x/4 = 782.
L.C.M(2,3,4) = 12.
(6x+8x+9x)/12 = 782.
23x = 782 * 12.
x = 9384/23.
X = 408.
First part= (1/2) * 408 = 204.
Shalu said:
1 decade ago
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.
Dnyanesh said:
1 decade ago
First We have to calculate LCM of 2,3,4. We get as 12.
Multiply each ratio i.e. numerator and denominator by 12 then we get ratio as 6:8:9.
Then calculate first part as {(782*6)/23} = 204 as answer.
Multiply each ratio i.e. numerator and denominator by 12 then we get ratio as 6:8:9.
Then calculate first part as {(782*6)/23} = 204 as answer.
Ranjani said:
1 decade ago
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.
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.
(2)
T.SATHISH KUMAR said:
1 decade ago
Easy method take 2, 3, 4 first divide by 2 then it becomes 1, 3, 2 then divide 2 then it becomes 1, 3, 1 then divide 3 it becomes 1, 1, 1 then take divided number 2*2*3=12 do like this my friend.
Kazi said:
1 decade ago
Given that 1/2:2/3:3/4 = 782.
Let 782 divided in x parts.
Than (1/2x+2/3x)+3/4x = 782.
7x/6+3x/4 = 782.
46x/24 = 782.
x = 782*24/46.
x = 408.
1/2x = 1/2*408 = 204 1st no and so on.
Let 782 divided in x parts.
Than (1/2x+2/3x)+3/4x = 782.
7x/6+3x/4 = 782.
46x/24 = 782.
x = 782*24/46.
x = 408.
1/2x = 1/2*408 = 204 1st no and so on.
Rahul said:
5 years ago
Hi, friends see here, please.
12 is common in all the denominator's table.
So multiply by 12 to all denominator.
i.e. (1/2)*12 = 6.
i.e. (2/3)*12 = 8.
i.e. (3/4)*12 = 9.
That's it.
12 is common in all the denominator's table.
So multiply by 12 to all denominator.
i.e. (1/2)*12 = 6.
i.e. (2/3)*12 = 8.
i.e. (3/4)*12 = 9.
That's it.
(3)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers