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An amount of Rs 34,000 is to be divided among Raja, Rani and Mahi in the ratio of 1/4: 5/16:1/2. Find the difference between the smallest and the greatest parts.
- a)8000
- b)4000
- c)12000
- d)6400
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
An amount of Rs 34,000 is to be divided among Raja, Rani and Mahi in t...
Raja: Rani: Mahi = 1/4: 5/16:1/2
Ratio = 4:5:8
Difference between greatest and smallest = 8x – 4x = 4x
Now, 4x + 5x + 8x = 34000
17x = 34000
Therefore, x = 2000
Required answer = 4x = 4 × 2000 = 8000
Most Upvoted Answer
An amount of Rs 34,000 is to be divided among Raja, Rani and Mahi in t...
Problem:
An amount of Rs 34,000 is to be divided among Raja, Rani, and Mahi in the ratio of 1/4 : 5/16 : 1/2. Find the difference between the smallest and the greatest parts.
Solution:
To find the difference between the smallest and greatest parts, we first need to determine the individual shares of Raja, Rani, and Mahi based on the given ratio.
Step 1: Calculate the common denominator for the ratio.
The common denominator for 1/4, 5/16, and 1/2 is 16.
Step 2: Convert the given ratio to the common denominator.
1/4 can be written as (1/4) x (4/4) = 4/16
5/16 remains the same.
1/2 can be written as (1/2) x (8/8) = 8/16
So, the ratio becomes 4/16 : 5/16 : 8/16.
Step 3: Calculate the individual shares.
To calculate the individual shares, we need to find the fraction of the total amount represented by each part of the ratio.
The total fraction represented by the ratio is (4/16 + 5/16 + 8/16) = 17/16.
Now, we can calculate the individual shares as follows:
Raja's share = (4/16) x Rs 34,000 = Rs (4/16) x 34,000 = Rs 8,500
Rani's share = (5/16) x Rs 34,000 = Rs (5/16) x 34,000 = Rs 10,625
Mahi's share = (8/16) x Rs 34,000 = Rs (8/16) x 34,000 = Rs 17,000
Step 4: Find the difference between the smallest and greatest parts.
The smallest part is Raja's share, which is Rs 8,500.
The greatest part is Mahi's share, which is Rs 17,000.
Therefore, the difference between the smallest and greatest parts is Rs (17,000 - 8,500) = Rs 8,500.
Conclusion:
The difference between the smallest and greatest parts is Rs 8,500.
An amount of Rs 34,000 is to be divided among Raja, Rani, and Mahi in the ratio of 1/4 : 5/16 : 1/2. Find the difference between the smallest and the greatest parts.
Solution:
To find the difference between the smallest and greatest parts, we first need to determine the individual shares of Raja, Rani, and Mahi based on the given ratio.
Step 1: Calculate the common denominator for the ratio.
The common denominator for 1/4, 5/16, and 1/2 is 16.
Step 2: Convert the given ratio to the common denominator.
1/4 can be written as (1/4) x (4/4) = 4/16
5/16 remains the same.
1/2 can be written as (1/2) x (8/8) = 8/16
So, the ratio becomes 4/16 : 5/16 : 8/16.
Step 3: Calculate the individual shares.
To calculate the individual shares, we need to find the fraction of the total amount represented by each part of the ratio.
The total fraction represented by the ratio is (4/16 + 5/16 + 8/16) = 17/16.
Now, we can calculate the individual shares as follows:
Raja's share = (4/16) x Rs 34,000 = Rs (4/16) x 34,000 = Rs 8,500
Rani's share = (5/16) x Rs 34,000 = Rs (5/16) x 34,000 = Rs 10,625
Mahi's share = (8/16) x Rs 34,000 = Rs (8/16) x 34,000 = Rs 17,000
Step 4: Find the difference between the smallest and greatest parts.
The smallest part is Raja's share, which is Rs 8,500.
The greatest part is Mahi's share, which is Rs 17,000.
Therefore, the difference between the smallest and greatest parts is Rs (17,000 - 8,500) = Rs 8,500.
Conclusion:
The difference between the smallest and greatest parts is Rs 8,500.
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