Question

2) A sum of 2400 to be distributed among 6 top
participants of a contest. If each prize amount is 40 less than
its preceding amount, find the highest prize amount

Answer 1

The highest prize amount = ● 500.

Step-by-step explanation:

Given :

Asum of 2400 which is to be distributed among 6 top participants such that each prize amount is 40 less than its preceding amount.

To find :

The highest prize amount.

Solution :

Since, each amount is 40 less than its preceding

amount, it is a decreasing Arithmetic Progression with common difference 2d = -40

Let the 6 terms of the A.P. be,

a - 5d, a - 3d, a - d, a + d, a + 3d, a + 5d

Adding these 6 terms we get,

6a = 2400 => a = 400.

2d = -40 => d = -20

Therefore, highest prize amount =

a - 5d = 400 - 5 × (-20) = 400 + 100 = 500

Hence, the highest prize amount = ● 500.