Three prizes are to be distributed in a quiz contest. The value of second prize is 56 of the value of first prize and the value of third prize is 45 of second prize. If the total value of three prizes is Rs.1500. 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