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in Mathematics by (130k points)

A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.

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by (266k points)
 
Best answer

Let the value of the first prize be a. 

Since the value of each prize is 20 less than its preceding prize, so the values of the prizes are in AP with common difference – Rs.20.

Thus, the value of the first prize is Rs.160.

Hence, the value of each prize is Rs.160, Rs.140, Rs.120, Rs.100, Rs.80, Rs.60 and Rs.40. 

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