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:
98 comments Page 2 of 10.

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

Aditya Rana said:   4 years ago
Well explained, thanks to all.
(5)

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)

Poojitha said:   5 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)

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)

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)

Anushree said:   6 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.
(2)

Srinivas said:   9 years ago
Given by 3 ratios into divided by some parts like 1/2 is the 1st part, 2/3 is the 2nd part,3/4 is the third part so,

We are talking 3 parts 1st we should follow L.C.M 2,3,4 = 12 so,
1/2 * 12 = 6(1st), 2/3 * 12 = 8(2nd), 3/4 * 12 = 9(3rd) then we adding those values 6 + 8 + 9 = 23 then now they are asking abt 1st part /total ratio*some money(Rs).
6/23 * 782 = 204.

So, the ans is [D].
(1)

Answer me said:   2 decades ago
How did 6/23 come? Can anyone please explain?
(1)

Susant said:   2 decades ago
@Priya

Thanks so much priya.
(1)


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