Question

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

Answer 1

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 – ₹20.

Number of cash prizes to be given to the students, n = 7

Total sum of the prizes, S₇ = ₹700

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

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