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 1 of 10.

BLEHH said:   1 year ago
So,
X/2 + 2X/3 + 3X/4 = 782,
23X/12 = 782.
X = 408.

NOW, 1ST PART.
1/2 * (X)= 408/2 = 204.
(54)

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)

Anuj said:   4 years ago
How ratio is 6:8:9? Please explain.
(45)

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)

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)

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)

Shravan said:   4 years ago
1/2+2/3+3/4 = 23/12.
We need first part i.e 1/2.
1/2 * 12/23 * 782 = 204.
(19)

Megharaj said:   2 years ago
Thanks all for explaining the answer.
(9)

Nikita Salunkhe said:   4 years ago
Solution:

1/2 = 0.5, 2/3 = 0.67 , 3/4 = 0.75.
After this Let's consider common factor k, so this becomes,
0.5k, 0.67k , 0.75k.

Add this 0.5k + 0.67k + 0.75k = 782.
Find k -
k=407.29.

And we want to derive 1st no so put the value of k into 0.5k, which becomes
0.5 * 407.29= 203.64 ~ 204.
(7)

Samir said:   5 years ago
1/2:2/3:3/4.
6,8,9.
1st part , 782 * 6 / 23 = 204 ( simple answer).
(5)


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