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 1 of 10.
Srinivas said:
8 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].
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].
Alen said:
9 years ago
You can it can also be done in this way divide the fractions like 1/2 = .5, 2/3 = .66 3/4 = .75 so the ratio would be like .5 : .66 : .75 .
This can be also written as 50 : 66 : 75.
According to some rule when all ratios in the given are multiplied with same number or value, the ratio or proportion remains the same.
Now, we can find the value of the first => 50/ 191 * 782 = 204.
This can be also written as 50 : 66 : 75.
According to some rule when all ratios in the given are multiplied with same number or value, the ratio or proportion remains the same.
Now, we can find the value of the first => 50/ 191 * 782 = 204.
ALAM said:
9 years ago
At first to take lcm 2:3:4 then the result is 12.
Then after multiplying 1st part 1/2 * 12 = 6.
After multiplying 2nd part is 2/3 * 12= 8.
After multiplying 3rd part is 3/4 * 12 = 9.
The result is 6 : 8 : 9 after the result add it (6 + 8 + 9) = 23.
According to question find the 1st Part.
1st part is 6 and the total number is 23.
ie, 782 * 6/23 = 204 is the correct answer.
Then after multiplying 1st part 1/2 * 12 = 6.
After multiplying 2nd part is 2/3 * 12= 8.
After multiplying 3rd part is 3/4 * 12 = 9.
The result is 6 : 8 : 9 after the result add it (6 + 8 + 9) = 23.
According to question find the 1st Part.
1st part is 6 and the total number is 23.
ie, 782 * 6/23 = 204 is the correct answer.
K Powar said:
1 decade ago
This is a question on equivalent fraction. Since the ratio's are not equivalent, converting into equivalent fraction as under :
1/2 = 6/12
2/3 = 8/12
3/4 = 9/12
Hence, the ratio's are
6:8:9
or
6/23 ; 8/23; 9/23
First part : 782 * 6/23 = 204
Second part : 782 * 8/23 = 274
Third part : 782 * 9/23 = 306
1/2 = 6/12
2/3 = 8/12
3/4 = 9/12
Hence, the ratio's are
6:8:9
or
6/23 ; 8/23; 9/23
First part : 782 * 6/23 = 204
Second part : 782 * 8/23 = 274
Third part : 782 * 9/23 = 306
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.
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.
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)
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).
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)
Priya said:
1 decade 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.
6/12, 8/12, 9/12.
Now cancelling 12 we will get 6, 8, 9.
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.
J K Reddy said:
10 years ago
Given 1/2, 2/3, 3/4.
The first part 1+2, 2+3, 3+4 (add).
3, 5, 7, the total : 15.
1/2*15 = 7.5.
2/3*15 = 10.
3/4*15 = 11.25.
This total : 28.75.
And 7.5/28.75*782 = 204.
We want first one so first one is 204.
So answer is 204.
The first part 1+2, 2+3, 3+4 (add).
3, 5, 7, the total : 15.
1/2*15 = 7.5.
2/3*15 = 10.
3/4*15 = 11.25.
This total : 28.75.
And 7.5/28.75*782 = 204.
We want first one so first one is 204.
So answer is 204.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers