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:
98 comments Page 9 of 10.

ALAM said:   10 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.

Mohan kumar said:   10 years ago
How 6:8:9?

Rohan said:   10 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:   10 years ago
Hi, I didn't get how 6/23 came, so plz explain it once again.

Sonal said:   1 decade 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:   1 decade 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:   1 decade ago
Please anyone give me simple answer. I am not understand this methods how you will taken 12 please explain some body.

Karthivel said:   9 years ago
Not getting this.

Someone, please explain briefly.

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

Siva j said:   1 decade ago
Just simple calculation 1/2+2/3+3/4 = 23/12.

23/12 = 782.
1/2 = ?
782*1/2*12/23 = 204.


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