Three prizes are to be distributed in a quiz contest. The value of second prize is 5/6 of the value of first prize and the value of third prize is 4/5 of the second prize. If the total value of three prizes is Rs. 1500, then find the value of each prize. (in order of 1st, 2nd & 3rd)
Rs. 600, Rs.500, Rs. 400
Let the value of first prize = x
Value of second prize = 56x
Value of third prize = 45 (Value of the second prize)
= 45(56x) = 23x
Total value of three prizes = Rs.1500
⇒x+56x+23x=1500
⇒ 6x+5x+4x6=1500
⇒ 15x6=1500
⇒x=600
Value of first prize = Rs. 600
Value of second prize = 56 × Rs. 600 = Rs. 500
Value of third prize = 23 × Rs. 600 = Rs. 400