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 7 of 11.

Akhila said:   1 decade 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.

Patel said:   1 decade 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.

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.

Anu said:   1 decade ago
Let,
1/2x+2/3x+3/4x = 782.

Therefore solving x = 408.

From question, we need the first part, i.e. 1/2 of x = 204 :answer.

Monisha said:   1 decade ago
Is there any other shortcut?

Rohit said:   1 decade ago
It is very simple methods. But it is not. Can solve apply to other method?


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