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:
: : , then the first part is:
Answer: Option
Explanation:
Given ratio = : : = 6 : 8 : 9.
 1st part = Rs. |
 |
782 x | 6 |  |
= Rs. 204 |
| 23 |
Discussion:
97 comments Page 7 of 10.
Siva j said:
1 decade ago
Just simple calculation 1/2+2/3+3/4 = 23/12.
23/12 = 782.
1/2 = ?
782*1/2*12/23 = 204.
23/12 = 782.
1/2 = ?
782*1/2*12/23 = 204.
Anu said:
1 decade ago
Let,
1/2x+2/3x+3/4x = 782.
Therefore solving x = 408.
From question, we need the first part, i.e. 1/2 of x = 204 :answer.
1/2x+2/3x+3/4x = 782.
Therefore solving x = 408.
From question, we need the first part, i.e. 1/2 of x = 204 :answer.
Monisha said:
1 decade ago
Is there any other shortcut?
Rohit said:
1 decade ago
It is very simple methods. But it is not. Can solve apply to other method?
Sanjay mishra said:
1 decade ago
Only 782*6/23 where 23 is the sum of number.
Atul1487 said:
1 decade ago
@Siddarth.
Because all values are in ratio not added or subtracted.
So 6/12:8/12:9/12 = 782.
Hence all 12s will be cancelled.
Hope you understood.
782 *12 will be happened only if,
6/12+8/12+9/12 = 782.
or
6/12-8/12-9/12 = 782.
Got it.
Because all values are in ratio not added or subtracted.
So 6/12:8/12:9/12 = 782.
Hence all 12s will be cancelled.
Hope you understood.
782 *12 will be happened only if,
6/12+8/12+9/12 = 782.
or
6/12-8/12-9/12 = 782.
Got it.
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.
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.
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.
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.
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.
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