A basic and conceptual question from arithmetic progression chapter in which we are to calculate the value of each of the prizes, if the given sum is to be distributed among four prizes in such a way that after each first us RS. 200 less than the preceding prize.
Book RS Aggarwal, Class 10, chapter 5A, question no 47.
Let first prize be x then other prices will be x−200,x−400,x−600.
Now,
x+x−200+x−400+x−600=2800
4x=2800+1200
x=Rs.1000
Hence, the prizes are INR 1000,INR 800,INR 600,INR 400