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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 ?

Correct Answer: 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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