Question

A sum of Rs.700 is to be used to gives even 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 prize.

Answer 1

Answer:

on deviding it you will get the answer

Answer 2

AP will be 160, 140, 120, 100, 80, 60, 40.

Step-by-step explanation:

(i)Sum of AP = Rs.700

  d = -20

  The AP will be a, a-20, a-40, a-60....  

 n = 7 cash prizes

  So Sum = n/2 (2a + (n-1)d)

  700 = 7/2 (2a +6(-20))

  1400 = 7 (2a - 120)

  200 = 2a - 120

  2a = 320

 Therefore a = 160

So the first prize is Rs. 160.

AP will be 160, 140, 120, 100, 80, 60, 40.