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 2 of 10.

Suman said:   1 decade ago
1/2:2/3:3:4 is written as 6:8:9

how can you explain? plz explain clearly.

Shalu said:   1 decade ago
1:2 is multiplyed by 6/6 then it will be 6/12,in second case 2:3 is multiplyed by 4/4 then 8/12, and 3:4 multyplyed by 3/3 then 9/12; it is done because of doing denominators equal,new ratio becomes 6:8:9.

Ranjani said:   1 decade ago
Given :1/2:2/3:3/4=782

Let x b a part of 782 whn divided into 3 parts
(1/2)x:(2/3)x:(3/4)x=782

Take lcm we get
(6x+8x+9x)/12=782
23x=782*12
x=9384/23=408

Now we need 1 part so (1/2)*408 = 204.
(2)

Sanchit said:   1 decade ago
Good ranjani. Your method is good :)

Raj said:   1 decade ago
See their value is 1/2:2/3:3/4

Then take LCM 2,3,4 it's come 12

Then, (1/2:2/3:3/4)/12

Then 12/2=6 then 6*1=6
12/3=4 then 4*2=8
12/4=3 then 3*3=9

This way we find the 6:8:9.

Sushma said:   1 decade ago
The given ratios are=1/2:2/3:3/4

Then take the LCM Of the denominator of ratios(2,3,4=12)

Then divide each ratio with 12. for eg:- 1/2*12=6.

Prapurna said:   1 decade ago
I liked Ranjani's way of solving

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

K Powar said:   1 decade ago
This is a question on equivalent fraction. Since the ratio's are not equivalent, converting into equivalent fraction as under :

1/2 = 6/12
2/3 = 8/12
3/4 = 9/12

Hence, the ratio's are
6:8:9

or

6/23 ; 8/23; 9/23

First part : 782 * 6/23 = 204
Second part : 782 * 8/23 = 274
Third part : 782 * 9/23 = 306

Sharmila S. Meena said:   1 decade ago
Priya explained very simply. I liked her method of solving.


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