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A sum of ₹ 300 is divided among P, Q and R in such a way that Q gets ₹ 30 more than P and R gets ₹ 60 more than Q.
The ratio of their share is    (SSC CGL 1st Sit.  2013)
  • a)
    3 : 2 : 5
  • b)
    2 : 5 : 3
  • c)
    5 : 3 : 2
  • d)
    2 : 3 : 5
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A sum of 300 is divided among P, Q and R in such a way that Q gets 3...
- **Understanding the problem**
Given that the total sum is 300, and the distribution is such that Q gets 30 more than P and R gets 60 more than Q. We need to find the ratio of their shares.
- **Let's assume the shares**
Let P gets x, Q gets x + 30, and R gets x + 30 + 60 = x + 90.
- **Total sum equation**
According to the problem, x + x + 30 + x + 90 = 300.
- **Solving the equation**
Combining like terms, we get 3x + 120 = 300. Solving further, we find x = 60.
- **Calculating the shares**
Therefore, P gets 60, Q gets 60 + 30 = 90, and R gets 60 + 90 = 150.
- **Finding the ratio**
The ratio of their shares is P : Q : R = 60 : 90 : 150, which simplifies to 2 : 3 : 5.
- **Conclusion**
Hence, the correct ratio of their shares is 2 : 3 : 5, which corresponds to option 'D'.
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Community Answer
A sum of 300 is divided among P, Q and R in such a way that Q gets 3...
Q = P + 30 ⇒ Q – P = 30 and
R – Q = 60 = 2 × 30
∴ Required ratio = 2 : 3 : 5
Look : 3 – 2 = 1, 5 – 3 = 2
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A sum of 300 is divided among P, Q and R in such a way that Q gets 30 more than P and R gets 60 more than Q.The ratio of their share is (SSC CGL 1st Sit. 2013)a)3 : 2 : 5b)2 : 5 : 3c)5 : 3 : 2d)2 : 3 : 5Correct answer is option 'D'. Can you explain this answer?
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