Question

Three prizes are to be distributed in a quiz contest. the value of the second prize is five sixths the value of the first prize and the value of the third prize is four fifths that of the second prize. If the total value of the three prizes is ₹ 150 , find the value of each prize.​

Answer 1

Let value of 1st prize be x
Value of 2nd prize be5/6x
Value of 3rd prize is 4/5*5/6x
=4/6x
According to Question
x+5/6x+4/6x=180
6x+5x+4x/6=180
15x/6=180
15x=180*6
x=1080/15
x=72

Value of 1st prize is x=72
Value of 2nd prize is 5/6x=5/6*72
=12*5=60
Value of 3rd prize =4/6x=4/6*72
=48

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