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.

## LetÂ first prize beÂ xÂ then other prices will beÂ xâˆ’200,xâˆ’400,xâˆ’600.

Now,

x+xâˆ’200+xâˆ’400+xâˆ’600=2800

4x=2800+1200

x=Rs.1000

Hence, the prizes areÂ INRÂ 1000,INRÂ 800,INRÂ 600,INRÂ 400