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A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X got
- a)Rs 1015
- b)Rs 810
- c)Rs 605
- d)Rs 595
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their s...
Given information:
Total sum = Rs 2430
Shares diminished by:
X = Rs 5
Y = Rs 10
Z = Rs 15
Remainder ratio after diminishing:
X : Y : Z = 3 : 4 : 5
To find:
Share of person X
Solution:
Let the original shares of X, Y, and Z be x, y, and z respectively.
Since the remainder ratio is 3:4:5, we can write the equation as follows:
(x-5) : (y-10) : (z-15) = 3 : 4 : 5
Cross multiplying, we get:
3(y-10) = 4(x-5)
4(x-5) = 5(z-15)
Simplifying these equations, we get:
3y - 30 = 4x - 20
4x - 20 = 5z - 75
Rearranging the equations, we have:
4x - 3y = 10
4x - 5z = -55
Now, we need to solve these two equations to find the values of x, y, and z.
Multiplying the first equation by 5 and the second equation by 3, we get:
20x - 15y = 50
12x - 15z = -165
Now, solving these two equations, we get:
20x - 15y = 50
12x - 15z = -165
-----------------------------
8x = 215
Dividing both sides by 8, we get:
x = 26.875
Since the share cannot be in decimal, we need to round it off to the nearest whole number.
Rounding off x to the nearest whole number, we get:
x = 27
Therefore, the share of person X is Rs 27.
Verification:
To verify this answer, we can calculate the shares of Y and Z.
Share of Y = y - 10 = 4(x-5) = 4(27-5) = 4(22) = 88
Share of Z = z - 15 = 5(x-5) = 5(27-5) = 5(22) = 110
Now, checking if the remainder ratio is 3:4:5:
27-5 : 88-10 : 110-15 = 22 : 78 : 95
Dividing all the numbers by their common factor 2, we get:
11 : 39 : 47
This is not the same as the given ratio 3:4:5.
Therefore, the answer is not correct.
Note: The solution provided above does not yield the correct answer for the given problem. I apologize for the incorrect response.
Total sum = Rs 2430
Shares diminished by:
X = Rs 5
Y = Rs 10
Z = Rs 15
Remainder ratio after diminishing:
X : Y : Z = 3 : 4 : 5
To find:
Share of person X
Solution:
Let the original shares of X, Y, and Z be x, y, and z respectively.
Since the remainder ratio is 3:4:5, we can write the equation as follows:
(x-5) : (y-10) : (z-15) = 3 : 4 : 5
Cross multiplying, we get:
3(y-10) = 4(x-5)
4(x-5) = 5(z-15)
Simplifying these equations, we get:
3y - 30 = 4x - 20
4x - 20 = 5z - 75
Rearranging the equations, we have:
4x - 3y = 10
4x - 5z = -55
Now, we need to solve these two equations to find the values of x, y, and z.
Multiplying the first equation by 5 and the second equation by 3, we get:
20x - 15y = 50
12x - 15z = -165
Now, solving these two equations, we get:
20x - 15y = 50
12x - 15z = -165
-----------------------------
8x = 215
Dividing both sides by 8, we get:
x = 26.875
Since the share cannot be in decimal, we need to round it off to the nearest whole number.
Rounding off x to the nearest whole number, we get:
x = 27
Therefore, the share of person X is Rs 27.
Verification:
To verify this answer, we can calculate the shares of Y and Z.
Share of Y = y - 10 = 4(x-5) = 4(27-5) = 4(22) = 88
Share of Z = z - 15 = 5(x-5) = 5(27-5) = 5(22) = 110
Now, checking if the remainder ratio is 3:4:5:
27-5 : 88-10 : 110-15 = 22 : 78 : 95
Dividing all the numbers by their common factor 2, we get:
11 : 39 : 47
This is not the same as the given ratio 3:4:5.
Therefore, the answer is not correct.
Note: The solution provided above does not yield the correct answer for the given problem. I apologize for the incorrect response.
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A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their s...
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A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X gota) Rs 1015 b) Rs 810 c) Rs 605 d) Rs 595 Correct answer is option 'C'. Can you explain this answer?
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A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X gota) Rs 1015 b) Rs 810 c) Rs 605 d) Rs 595 Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X gota) Rs 1015 b) Rs 810 c) Rs 605 d) Rs 595 Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X gota) Rs 1015 b) Rs 810 c) Rs 605 d) Rs 595 Correct answer is option 'C'. Can you explain this answer?.
A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X gota) Rs 1015 b) Rs 810 c) Rs 605 d) Rs 595 Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X gota) Rs 1015 b) Rs 810 c) Rs 605 d) Rs 595 Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs 2430 was divided among 3 persons X,Y,Zsuch that if their shares were diminished by Rs 5, Rs 10, Rs 15 respectively, the remainder would be in the ratio 3:4:5. In this division,X gota) Rs 1015 b) Rs 810 c) Rs 605 d) Rs 595 Correct answer is option 'C'. Can you explain this answer?.
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