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Hari, Roy and Prasad are partners in the ratio of 3:5:1 respectively. Roy wants to retire. His share is being purchased by Prasad. What would be the new ratio of Hari and Prasad respectively?
- a)1:2
- b)2:1
- c)3:5
- d)Equal
Correct answer is option 'A'. Can you explain this answer?
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Hari, Roy and Prasad are partners in the ratio of 3:5:1 respectively. ...
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Hari, Roy and Prasad are partners in the ratio of 3:5:1 respectively. ...
Given:
- Partners: Hari, Roy, and Prasad
- Ratio of their shares: 3:5:1
To find:
- New ratio of Hari and Prasad after Roy's share is purchased by Prasad
Solution:
To find the new ratio of Hari and Prasad, we need to calculate the total shares of Hari and Prasad before and after the purchase.
Step 1: Calculate the total shares before the purchase:
- The total ratio is 3 + 5 + 1 = 9
- Hari's share = (3/9) x Total shares = 3/9
- Roy's share = (5/9) x Total shares = 5/9
- Prasad's share = (1/9) x Total shares = 1/9
Step 2: Calculate the total shares after the purchase:
- Roy's share is being purchased by Prasad, so Prasad's new share will be 1/9 + 5/9 = 6/9
- Hari's share remains the same, which is 3/9
Step 3: Simplify the ratio:
- The new ratio of Hari and Prasad is 3/9 : 6/9
- Simplifying the ratio by dividing both parts by the greatest common divisor (GCD) of 3 and 6, which is 3, we get:
- New ratio = (3/9)/3 : (6/9)/3
- New ratio = 1/3 : 2/3
- Multiplying both parts by 3 to get rid of the denominators, we get:
- New ratio = 1 : 2
Answer:
The new ratio of Hari and Prasad after Roy's share is purchased by Prasad is 1:2, which is option A.
- Partners: Hari, Roy, and Prasad
- Ratio of their shares: 3:5:1
To find:
- New ratio of Hari and Prasad after Roy's share is purchased by Prasad
Solution:
To find the new ratio of Hari and Prasad, we need to calculate the total shares of Hari and Prasad before and after the purchase.
Step 1: Calculate the total shares before the purchase:
- The total ratio is 3 + 5 + 1 = 9
- Hari's share = (3/9) x Total shares = 3/9
- Roy's share = (5/9) x Total shares = 5/9
- Prasad's share = (1/9) x Total shares = 1/9
Step 2: Calculate the total shares after the purchase:
- Roy's share is being purchased by Prasad, so Prasad's new share will be 1/9 + 5/9 = 6/9
- Hari's share remains the same, which is 3/9
Step 3: Simplify the ratio:
- The new ratio of Hari and Prasad is 3/9 : 6/9
- Simplifying the ratio by dividing both parts by the greatest common divisor (GCD) of 3 and 6, which is 3, we get:
- New ratio = (3/9)/3 : (6/9)/3
- New ratio = 1/3 : 2/3
- Multiplying both parts by 3 to get rid of the denominators, we get:
- New ratio = 1 : 2
Answer:
The new ratio of Hari and Prasad after Roy's share is purchased by Prasad is 1:2, which is option A.
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Hari, Roy and Prasad are partners in the ratio of 3:5:1 respectively. Roy wants to retire. His share is being purchased by Prasad. What would be the new ratio of Hari and Prasad respectively?a)1:2b)2:1c)3:5d)EqualCorrect answer is option 'A'. Can you explain this answer?
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