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 6 of 10.

ALAM said:   9 years 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:   9 years 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.

Mohan kumar said:   9 years ago
How 6:8:9?

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.

Akhila said:   9 years ago
Hi, I didn't get how 6/23 came, so plz explain it once again.

Sonal said:   10 years ago
Given:- Amount = Rs. 782.

Ratios = 1/2:2/3:3/4.

Add the given ratios = 1/2+2/3+3/4 = 23/12.

To find the first part = given amount * first part ratio/total value of the ratios.

= 782*[ (1/2) / (3/4) ].

Answer = 204.

J K Reddy said:   10 years ago
Given 1/2, 2/3, 3/4.

The first part 1+2, 2+3, 3+4 (add).

3, 5, 7, the total : 15.

1/2*15 = 7.5.

2/3*15 = 10.

3/4*15 = 11.25.

This total : 28.75.

And 7.5/28.75*782 = 204.

We want first one so first one is 204.

So answer is 204.

J K Reddy said:   10 years ago
Please anyone give me simple answer. I am not understand this methods how you will taken 12 please explain some body.

Patel said:   10 years ago
1/2 = 50%.

2/3 = 66.67%.

3/4 = 75%.
____________

191.

982 x 50/191 = 204.

Sid said:   1 decade ago
Thanks friends for helping in this.


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