Question

A sum of RS.2800 is to be used to award four prizes.If each prize after the first is Rs. 200 less than the preceding one, find the value of each of the prize

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

∴ The prizes are 1000, 800, 600, 400.

Answer 2

Answer:

first prize=x=1000 rs

second prize=x-200=800 rs

third prize=x-400=600 rs

fourth prize=x-600=400 rs

Step-by-step explanation:

Let the first prize be x

as there are four prizes

first prize=x

second prize=x-200

third price=x-400

fourth prize=x-600

so  the prizes are x,x-200,x-400 and x-600

so by the condition given in the question  

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

4x-1200=2800

4x=2800+1200

4x=4000

x=4000/4

x=100

first prize=x=1000 rs

second prize=x-200=800 rs

third prize=x-400=600 rs

fourth prize=x-600=400 rs