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Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?
- a)C, Rs 246
- b)C, Rs 264
- c)B, Rs 18
- d)A, Rs 246
- e)A, Rs 264
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it bee...
E) A, Rs 264 Explanation: New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4 So both ratio suggests that C has not gained any money, rather he has lose the money.
For both ratio find the shares of A and B With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
B has also lose the money, A gain the money and = 364 – 100 = 264
For both ratio find the shares of A and B With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
B has also lose the money, A gain the money and = 364 – 100 = 264
Most Upvoted Answer
Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it bee...
E) A, Rs 264 Explanation: New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4 So both ratio suggests that C has not gained any money, rather he has lose the money.
For both ratio find the shares of A and B With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
B has also lose the money, A gain the money and = 364 – 100 = 264
For both ratio find the shares of A and B With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
B has also lose the money, A gain the money and = 364 – 100 = 264
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Community Answer
Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it bee...
Given: Rs 650 divided among 3 children in the ratio 2:4:7
Let the shares of the 3 children be 2x, 4x, and 7x
Total share = 13x
Total money = Rs 650
So, 13x = 650
x = 50
Therefore, the shares of the 3 children are 2x = 100, 4x = 200, and 7x = 350
Now, if the money was divided in the ratio 1/2 : 1/4 : 1/7, we need to find the new shares of the 3 children.
Let the shares of the 3 children be (1/2)y, (1/4)y, and (1/7)y
Total share = (15/28)y
Total money = Rs 650
So, (15/28)y = 650
y = (650*28)/15
Therefore, the shares of the 3 children are (1/2)y = (650*14)/15 = 386.67, (1/4)y = (650*7)/15 = 306.67, and (1/7)y = (650*4)/15 = 173.33
To find out who gained the most, we need to compare the differences between the old and new shares for each child.
Child A:
Old share = Rs 100
New share = Rs 386.67
Gain = Rs 286.67
Child B:
Old share = Rs 200
New share = Rs 306.67
Gain = Rs 106.67
Child C:
Old share = Rs 350
New share = Rs 173.33
Loss = Rs 176.67
Therefore, Child A gained the most, by Rs 286.67. Hence, the correct answer is option E.
Let the shares of the 3 children be 2x, 4x, and 7x
Total share = 13x
Total money = Rs 650
So, 13x = 650
x = 50
Therefore, the shares of the 3 children are 2x = 100, 4x = 200, and 7x = 350
Now, if the money was divided in the ratio 1/2 : 1/4 : 1/7, we need to find the new shares of the 3 children.
Let the shares of the 3 children be (1/2)y, (1/4)y, and (1/7)y
Total share = (15/28)y
Total money = Rs 650
So, (15/28)y = 650
y = (650*28)/15
Therefore, the shares of the 3 children are (1/2)y = (650*14)/15 = 386.67, (1/4)y = (650*7)/15 = 306.67, and (1/7)y = (650*4)/15 = 173.33
To find out who gained the most, we need to compare the differences between the old and new shares for each child.
Child A:
Old share = Rs 100
New share = Rs 386.67
Gain = Rs 286.67
Child B:
Old share = Rs 200
New share = Rs 306.67
Gain = Rs 106.67
Child C:
Old share = Rs 350
New share = Rs 173.33
Loss = Rs 176.67
Therefore, Child A gained the most, by Rs 286.67. Hence, the correct answer is option E.
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Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?a)C, Rs 246b)C, Rs 264c)B, Rs 18d)A, Rs 246e)A, Rs 264Correct answer is option 'E'. Can you explain this answer?
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Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?a)C, Rs 246b)C, Rs 264c)B, Rs 18d)A, Rs 246e)A, Rs 264Correct answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?a)C, Rs 246b)C, Rs 264c)B, Rs 18d)A, Rs 246e)A, Rs 264Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?a)C, Rs 246b)C, Rs 264c)B, Rs 18d)A, Rs 246e)A, Rs 264Correct answer is option 'E'. Can you explain this answer?.
Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?a)C, Rs 246b)C, Rs 264c)B, Rs 18d)A, Rs 246e)A, Rs 264Correct answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?a)C, Rs 246b)C, Rs 264c)B, Rs 18d)A, Rs 246e)A, Rs 264Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?a)C, Rs 246b)C, Rs 264c)B, Rs 18d)A, Rs 246e)A, Rs 264Correct answer is option 'E'. Can you explain this answer?.
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