Three prizes are to be distributed in a quiz contest.the Value of the second prize is three-fifth the value of the first prize and the value of the third prize is two-third that of the second prize. if the total value of the three prizes is ₹ 14400, then the value of each prize starting from first to third respectively is
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Step-by-step explanation:
GIVEN :
Total value of the three prizes = ₹ 1500
Let the value of the 1st prize = x
2nd prize = 5x/6
3rd prize = 4/5 × ( 5x/6 ) = 2x/3
x + 5x/6 + 2x/3 = 1500
[6x + 5x + 4x]/6 = 1500 [LCM = 6]
15x/6 = 1500
15 x = 1500 × 6
15x = 9000
x = 9000/15
x = 600
Value of 1st prize = x = ₹ 600
Value of 2nd prize = 5x/6 = (5 x 600)/6 = 5× 100= ₹ 500
3rd prize = 2x/3 =( 2 × 600)/3 = 2 × 200 = 400
Hence , the value of 1st prize, 2nd prize & 3rd prize is ₹ 600, ₹ 500 & ₹ 400
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