Question

three prizes are to be distributed in a quiz contest. the value of the 2nd prize is five-sixths the value of ihe first prize and the value of the thirdprize is four-fifths that of the 2nd prize. if the total value of the three prize is ₹ 150, find the value of each prize.​

Answer 1

Let value of 1st prize be x

Value of 2nd prize = 5x/6

Value of 3rd prize = 4/5(5x/6)

= 4x/6

Given total cost = 150

x + 5x/6 + 4x/6 = 150

15x/6= 150

x = (150*6)/15= 60

2nd prize = 50

3rd prize = 40

Answer 2

Answer: let 1st prize's value be x

Let 2nd prize's value be 5x/6

" 3rd " " " 4/5×5x/6=4x/6

A.T.Q ..........x+5x/6+4x/6 = 150

6x+5x+4x/6 =150

15x=150×6

x=150×6/15

x=60

1st prize=60

2nd prize =50

3rd prize =40

Step-by-step explanation: