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:
Rs. 182
Rs. 190
Rs. 196
Rs. 204
Answer: Option
Explanation:

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

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

Discussion:
97 comments Page 3 of 10.

Rupam said:   1 decade ago
Given Ratio = 1/2 : 2/3 : 3/4.

= 1/2*12 : 2/3*12 : 3/4*12.

= 6 : 8 : 9.

So 1st part is = Rs. (782 * 6/23) = Rs. 204.

[ to get 12.. do LCM of 2, 3 and 4 ].

Raj said:   1 decade ago
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.

Anom said:   3 years ago
Ratios.
1/2 equal to .5
2/3 equal to .66
3/4 equal to .75.

Sum of ratio equal to 1.91
Then 1 ratio =782 /1.91 is 407.
First part ratio =0.5,
= 407 * .5 = 203.5=> i.e 204.
(35)

Nabeel Ahmed said:   3 years ago
Simply;

First of all, add all three items of ratio 1/2+2/3+3/4 = 1.916,
so you need to divide 782/1.916=408.
Here 408 is on 1.
All the last multiply first item 1/2*408 = 204.
(49)

Prajajwl said:   4 years ago
LCM OF 2,3,4 IS 12 THEN;

1/2 x 12 = 6 that's how it is done same to all u get.
6,8,9 then the sum of 8, 9, 6 is 23 that's how the answer comes first part 6/23 x 782 = 408.
(43)

Anushree said:   5 years ago
1/2x + 2/3x + 3/4x = 782.
LCM of denominators i.e 2,3,4 is 12.
(6+8+9)x / 12 = 782.
23x/12 = 782.
x=(782 * 12)/23.
Therefore x=408.
First part= (1/2)x = 408/2 = 204.
(1)

Simron said:   5 years ago
According to me, the solution is;

First, calculate the ratio= 1/2+2/3+3/4 = 23/12.
Now, we know the total is 782 Rs.
So the 1st part will be 783*1/2*12/23 = 204 Rs.
(2)

Sajid said:   1 year ago
Given ratio = 1/2 + 2/3 + 3/4
LCM = 12
(1 × 12/2) (2 × 12/3)(3×12/4)
Ratio = 6 : 8 : 9
The Total value of the ratio is 23;
Divide by 782/23;
Ans 204.
(19)

Shashank Thakur said:   6 years ago
You can also solve it by adding all the ratio like:

1/2x+2/3x+3/4x = 782,
23x/12=782.
x = 408.

Hence for first part: 408*1/2= "204"=> answer.

Rohan said:   9 years ago
Since the ratio is 6:8:9 = 23.

So, first part = 6/23,

Second part = 8/23,

Third part = 9/23,

We have to find the first part therefore 6/23.


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