Question

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 then its preceding prize, find the value of each of the prizes.

Answer 1

Sum = 700

Let first prize be x
Then next will be x-20, x-40, x-60....

This forms an AP, Here a=x d= -20

S = n/2 ( 2a+(n-1)d)
700 = 7/2 ( 2x+ ( 6)(-20))
200 = 2x-120
2x = 320
x=160

So prizes are 160,140,120,100,80,60,40

Answer 2

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