Question

A sum of rs 2800 is to be used to award 4 prizes if each prize after the 1st is rs 200 less than the preceding prize find the value of each of the prizes

Answer 1

Let the first prize be x

so other three prizes are x-200,x-400&x-600

so by the condition given in the question

x+x-200+x-400+x-600=2800

4x-1200=2800

4x=4000

x=1000

Answer 2

Answer:

Let the amount of first prize be x

Now we are given that each prize after the 1st is rs 200 less than the preceding prize

So, the second prize is x-200

So, thirsd prize is x-200-200=x-400

So, fourth prize = x-400-200=x-600

Since we are given that A sum of rs 2800 is to be used to award 4 prizes

So, $x+x-200+x-400+x-600=2800$

$4x-1200=2800$

$4x=4000$

$x=1000$

So, first prize =1000

Second prize = 1000-200=800

Third prize = 800-200=600

Fourth prize = 600-200=400