Three prizes are to be distributed in a Quiz contest . The value of the 2nd prize is three fifth of the 1st prize and the value of the 3rd prize is two third of the 2nd prize . The total value of all the three prizes is ₹ 600 . Find the value of each prize .
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Let value of 1st price be X
Value of 2nd price = 3x/5
Value of 3rd price = 2/3 × 3x/5 = 2x/5
B.T.P,
X + 3x/5 + 2x/5 = 600
or, X( 1+ 3/5 + 2/5) = 600
or, X( 10/5) = 600
or,2x = 600
or X = 300
So value of first prize is Rs 300
Value of 2nd price is Rs 3×300/5 = 900/5 = Rs 180
Value of 3rd prize = 2× 300/5 = Rs 120
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