Question

A sum of RS. 700 is used to give seven cash prizes to students​ of a school for thier overall academic performance. If each prize is Rs. 20 less than it's preceding prize, find the value of each of the prizes.

Answer 1

160,140,120,100,80,60,40

Answer 2

Answer:

Let the cost of 1st prize be P.

Cost of 2nd prize = P − 20

And cost of 3rd prize = P − 40

It can be observed that the cost of these prizes are in an A.P. having

common difference as −20 and first term as P.

a = P and d = −20

Given that, S7 = 700

7/2[2a+(7-1) d] = 700

a + 3(−20) = 100

a − 60 = 100

a = 160

Therefore, the value of each of the prizes was Rs 160, Rs 140, Rs 120,

Rs 100, Rs 80, Rs 60, and Rs 40.

please please mark my answer as brainlist.

please mark my answer as brainlist

hope it helps you