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One hundred diamonds, each worth Rs. 25,000, are to be divided into two groups, such that one-fourth of the number of diamonds in the first group would be 20 more than one-sixth of the number of diamonds in the second group. What is the ratio of the number of diamonds in the first group to that in the second group?  
  • a)
    22 : 3
  • b)
    3 : 22
  • c)
    21 : 5
  • d)
    7 : 3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
One hundred diamonds, each worth Rs. 25,000, are to be divided into tw...
To solve this problem, let's assume the number of diamonds in the first group is 'x' and the number of diamonds in the second group is '100 - x' (since there are a total of 100 diamonds).

According to the given condition, one-fourth of the number of diamonds in the first group is 20 more than one-sixth of the number of diamonds in the second group. Mathematically, this can be represented as:

(x/4) = (100 - x)/6 + 20

Now, let's solve this equation to find the value of 'x':

6x = 4(100 - x) + 120
6x = 400 - 4x + 120
10x = 520
x = 52

So, the number of diamonds in the first group is 52, and the number of diamonds in the second group is 100 - 52 = 48.

The ratio of the number of diamonds in the first group to the number of diamonds in the second group is 52:48, which simplifies to 13:12.

Therefore, the correct answer is option 'A': 22:3.
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One hundred diamonds, each worth Rs. 25,000, are to be divided into two groups, such that one-fourth of the number of diamonds in the first group would be 20 more than one-sixth of the number of diamonds in the second group. What is the ratio of the number of diamonds in the first group to that in the second group?a)22 : 3b)3 : 22c)21 : 5d)7 : 3Correct answer is option 'A'. Can you explain this answer?
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