Three prizes were distributed. The value of second price is 5/6 of the value of first prize and the value of third prize is 4/5 of second prize. If total value of three prizes is 450rs find value of each prize.
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Answer:
Cost of first prize= ₹180
Cost of second prize = ₹150
Cost of third prize =₹ 120
Step-by-step explanation:
Let the value of first prize be ₹ x
Then,
Value of second prize=5x/6
Value of third prize=4/5*5x/6
=20x/30
=2x/3
Acccording to the question,
x+5x/6+2x/3=450
x+5x+4x/6=450
x+9x/6=450
x+3x/2=450
2x+3x/2=450
5x=900
x=₹ 180
Hence,
Cost of first prize= ₹180
Cost of second prize= (5/6*180) = ₹150
Cost of third prize= (2/3*180) =₹ 120
Hope it helps....
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