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:
103 comments Page 8 of 11.

ALAM said:   1 decade ago
At first to take lcm 2:3:4 then the result is 12.

Then after multiplying 1st part 1/2 * 12 = 6.

After multiplying 2nd part is 2/3 * 12= 8.
After multiplying 3rd part is 3/4 * 12 = 9.

The result is 6 : 8 : 9 after the result add it (6 + 8 + 9) = 23.

According to question find the 1st Part.

1st part is 6 and the total number is 23.

ie, 782 * 6/23 = 204 is the correct answer.

Alen said:   1 decade ago
You can it can also be done in this way divide the fractions like 1/2 = .5, 2/3 = .66 3/4 = .75 so the ratio would be like .5 : .66 : .75 .

This can be also written as 50 : 66 : 75.

According to some rule when all ratios in the given are multiplied with same number or value, the ratio or proportion remains the same.

Now, we can find the value of the first => 50/ 191 * 782 = 204.

AB lakn said:   10 years ago
The answer will be 391 as the first part is half of 782.

AJAY said:   10 years ago
TAKE LCM(2,3,4) = 12;
THEN (6:8:9).

Tarun dwivedi said:   10 years ago
Thank you @Angel.

Karthivel said:   10 years ago
Not getting this.

Someone, please explain briefly.

Mujawar said:   10 years ago
Thanks for explaining the solution.

S.MANIKANDAN said:   10 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.

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

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

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


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