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 8 of 10.

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.

Akila said:   6 years ago
How it would came 6:8:9?

Ramesh said:   6 years ago
Multiply all the ratio with LCM 12, then you get the answer.

Shoaib said:   6 years ago
Can somebody tell how to find LCM?

Jahangir Azhar said:   5 years ago
How did we get 408?

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.

Varsha said:   5 years ago
How come 6 : 8 : 9? Please explain.

Prem said:   5 years ago
Well explained, Thanks @Priya.

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)

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.
(3)


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