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 5 of 10.

Maruti said:   8 years ago
782 is divided into three parts A shares 1/2 which means half of 782.

I am Confused, please help me out.

Srinivas said:   8 years ago
Given by 3 ratios into divided by some parts like 1/2 is the 1st part, 2/3 is the 2nd part,3/4 is the third part so,

We are talking 3 parts 1st we should follow L.C.M 2,3,4 = 12 so,
1/2 * 12 = 6(1st), 2/3 * 12 = 8(2nd), 3/4 * 12 = 9(3rd) then we adding those values 6 + 8 + 9 = 23 then now they are asking abt 1st part /total ratio*some money(Rs).
6/23 * 782 = 204.

So, the ans is [D].

Sathyabama said:   9 years ago
I understand it easily, Thanks @Ranjani.

Addu said:   9 years ago
Given ratio = : : = 6 : 8 : 9.

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

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.

Karthivel said:   9 years ago
Not getting this.

Someone, please explain briefly.

Mujawar said:   9 years ago
Thanks for explaining the solution.

Tarun dwivedi said:   9 years ago
Thank you @Angel.

AJAY said:   9 years ago
TAKE LCM(2,3,4) = 12;
THEN (6:8:9).

AB lakn said:   9 years ago
The answer will be 391 as the first part is half of 782.


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