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:
103 comments Page 8 of 11.
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.
Sanesh said:
1 decade ago
I can't understand the 6/23 so please explain?
Rupam said:
1 decade ago
Given Ratio = 1/2 : 2/3 : 3/4.
= 1/2*12 : 2/3*12 : 3/4*12.
= 6 : 8 : 9.
So 1st part is = Rs. (782 * 6/23) = Rs. 204.
[ to get 12.. do LCM of 2, 3 and 4 ].
= 1/2*12 : 2/3*12 : 3/4*12.
= 6 : 8 : 9.
So 1st part is = Rs. (782 * 6/23) = Rs. 204.
[ to get 12.. do LCM of 2, 3 and 4 ].
Kamal bansal said:
1 decade ago
Why we need sum of all the three? how did we know this in exam?
Deepa said:
1 decade ago
Hi,
The given ratios are in fraction form that's why we have to convert the fraction form to whole number form with out changing the values of the ratios (only the form is changed and not the values) _. Then only the sum will b easy. And continue the sum as @K.POWAR said. I hope you can understand.
The given ratios are in fraction form that's why we have to convert the fraction form to whole number form with out changing the values of the ratios (only the form is changed and not the values) _. Then only the sum will b easy. And continue the sum as @K.POWAR said. I hope you can understand.
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