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2004

Q: A sum of Rs.1890 has to be used to give 9 prizes to the customers of a super market for their overall academic purchases. If each prize is Rs.30 less than its preceding price, what is the least value of the price ?

  • 1
    90
  • 2
    95
  • 3
    85
  • 4
    80
  • Show Answer
  • Workspace

Answer : 1. "90"
Explanation :

Answer: A) 90 Explanation: Let the least value of the prize = Rs. x Then the next value of the prize is x+30 , x+60, x+90, ....x+240. Given total amount of cash prizes = Rs.1890 --> x + (x+30) + (x+60) + (x+90) + ....+ (x+240) = 1890 --> 9x + (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240) = 1890 --> 9x + 30(1 + 2 + 3 + 4....+ 8) = 1890 --> 9x + 30(36) = 1890 --> 9x = 810 --> x=90 Hence the least value of the prize x=90

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