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 10 of 11.

Ranjani said:   2 decades 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)

Shalu said:   2 decades 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.

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

how can you explain? plz explain clearly.

Hemant said:   2 decades ago
1/2 : 2/3 : 3/4 is written as 6:8:9 ?
plz explain

Kannan said:   2 decades ago
Taking lcm for 2, 3, 4 and we got 12. Then the numerators 6, 8, 9 were used.

Sushil M said:   2 decades ago
In wat way the ratio 1/2 : 2/3 : 3/4 is written as 6:8:9 ?

How's its come can u explain clearly ????

Susant said:   2 decades ago
@Priya

Thanks so much priya.
(1)

Angel said:   2 decades ago
You just need to multiply every ratio by 12 because it is the lcm of denominators.

Priya said:   2 decades ago
The LCM of all the denominators is 12. So multiply the number and denominator with 6 to make 1/2 as 6/12, multiply 2/3 with 4. So that it becomes 8/12 and multiply 3/4 with 3 to make 9/12. Now the new ratio will be:

6/12, 8/12, 9/12.

Now cancelling 12 we will get 6, 8, 9.

Shreenath said:   2 decades ago
How 1/2 is attained as 6 2/3 as 8 and 3/4 as 9 and how for calculating the first part the number is multiplied by 6/23 ?


Post your comments here:

Your comments will be displayed after verification.