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Q: A sum of money is distributed among P,Q, R and S in the ratio 3: 4: 5: 6, respectively. If R gets Rs. 500 more than Q, then the sum of all the shares (in Rs) is:
  • A. 8000
  • B. 9000
  • C. 7500
  • D. 6000
Correct Answer: Option B - Let the share of P, Q, R and S be 3x, 4x, 5x and 6x respectively. ∵ R gets Rs. 500 more than Q. According to the question, ∴ 5x – 4x = 500 x = 500 ∴ Sum of all the shares = 3x+4x+5x+6x = 18x = 18×500 = `9000
B. Let the share of P, Q, R and S be 3x, 4x, 5x and 6x respectively. ∵ R gets Rs. 500 more than Q. According to the question, ∴ 5x – 4x = 500 x = 500 ∴ Sum of all the shares = 3x+4x+5x+6x = 18x = 18×500 = `9000

Explanations:

Let the share of P, Q, R and S be 3x, 4x, 5x and 6x respectively. ∵ R gets Rs. 500 more than Q. According to the question, ∴ 5x – 4x = 500 x = 500 ∴ Sum of all the shares = 3x+4x+5x+6x = 18x = 18×500 = `9000