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:
101 comments Page 8 of 11.

Siddarth said:   1 decade ago
Why is not 6:8:9/12 = 782 ?

I mean 782 must be multiplied by 12 so it should be 23x = 782*12.

Dnyanesh said:   1 decade ago
First We have to calculate LCM of 2,3,4. We get as 12.

Multiply each ratio i.e. numerator and denominator by 12 then we get ratio as 6:8:9.

Then calculate first part as {(782*6)/23} = 204 as answer.

Saikrish said:   1 decade ago
(1/2+2/3+3/4)x = 782.

x = 408.

Then,

1/2 of x = 1/2*(408) = 204.

Kazi said:   1 decade ago
Given that 1/2:2/3:3/4 = 782.

Let 782 divided in x parts.

Than (1/2x+2/3x)+3/4x = 782.

7x/6+3x/4 = 782.

46x/24 = 782.

x = 782*24/46.

x = 408.

1/2x = 1/2*408 = 204 1st no and so on.

Sanesh said:   1 decade ago
I can't understand the 6/23 so please explain?

Rupam said:   1 decade ago
Given Ratio = 1/2 : 2/3 : 3/4.

= 1/2*12 : 2/3*12 : 3/4*12.

= 6 : 8 : 9.

So 1st part is = Rs. (782 * 6/23) = Rs. 204.

[ to get 12.. do LCM of 2, 3 and 4 ].

Kamal bansal said:   1 decade ago
Why we need sum of all the three? how did we know this in exam?

Deepa said:   1 decade ago
Hi,

The given ratios are in fraction form that's why we have to convert the fraction form to whole number form with out changing the values of the ratios (only the form is changed and not the values) _. Then only the sum will b easy. And continue the sum as @K.POWAR said. I hope you can understand.

Chintamani said:   1 decade ago
Why take LCM when we can directly simplify 1/2:2/3:3/4 by cancelling the common factor?

T.SATHISH KUMAR said:   1 decade ago
Easy method take 2, 3, 4 first divide by 2 then it becomes 1, 3, 2 then divide 2 then it becomes 1, 3, 1 then divide 3 it becomes 1, 1, 1 then take divided number 2*2*3=12 do like this my friend.


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