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.

Prajajwl said:   4 years ago
LCM OF 2,3,4 IS 12 THEN;

1/2 x 12 = 6 that's how it is done same to all u get.
6,8,9 then the sum of 8, 9, 6 is 23 that's how the answer comes first part 6/23 x 782 = 408.
(43)

Poojitha said:   4 years ago
1/2 + 2/3 + 3/4 = 23/12 we are doing this because they gave a + b + c = 789.

So, we have to calculate a ,b , c values individually and at last we want a value so (a/total * given) == 1/2 (because we want 1st part value) ÷ 23/12 after solving this we get 6/23 now 6/23 * 789(given).
(3)

Nikita Salunkhe said:   4 years ago
Solution:

1/2 = 0.5, 2/3 = 0.67 , 3/4 = 0.75.
After this Let's consider common factor k, so this becomes,
0.5k, 0.67k , 0.75k.

Add this 0.5k + 0.67k + 0.75k = 782.
Find k -
k=407.29.

And we want to derive 1st no so put the value of k into 0.5k, which becomes
0.5 * 407.29= 203.64 ~ 204.
(7)

Samir said:   5 years ago
1/2:2/3:3/4.
6,8,9.
1st part , 782 * 6 / 23 = 204 ( simple answer).
(5)

Simron said:   5 years ago
According to me, the solution is;

First, calculate the ratio= 1/2+2/3+3/4 = 23/12.
Now, we know the total is 782 Rs.
So the 1st part will be 783*1/2*12/23 = 204 Rs.
(2)

Indra said:   5 years ago
Hello @Varsha.

Take LCM of 3 we get 12 that's it.

Harman said:   5 years ago
Got it now, Thanks all.

Rahul said:   5 years ago
Hi, friends see here, please.

12 is common in all the denominator's table.

So multiply by 12 to all denominator.

i.e. (1/2)*12 = 6.
i.e. (2/3)*12 = 8.
i.e. (3/4)*12 = 9.

That's it.
(3)

Anushree said:   5 years ago
1/2x + 2/3x + 3/4x = 782.
LCM of denominators i.e 2,3,4 is 12.
(6+8+9)x / 12 = 782.
23x/12 = 782.
x=(782 * 12)/23.
Therefore x=408.
First part= (1/2)x = 408/2 = 204.
(1)

Prem said:   5 years ago
Well explained, Thanks @Priya.


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