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Answer:
answer for the given problem is given
Step-by-step explanation:
Total number of Prizes =3
Total value of three prizes =Rs.330
Let the first prize be 'X'
then second prize would be 5/6X.
and third prize would be 4/5(5/6X). (given)
therefore third prize =4/6X
therefore, X+(5X/6)+(4X/6)=330
therefore, X+(5X/6)+(4X/6)=330=>(6X+5X+4X)/6=330
therefore, X+(5X/6)+(4X/6)=330=>(6X+5X+4X)/6=330=>15X/6=330
therefore, X+(5X/6)+(4X/6)=330=>(6X+5X+4X)/6=330=>15X/6=330=>15X=330×6
therefore, X+(5X/6)+(4X/6)=330=>(6X+5X+4X)/6=330=>15X/6=330=>15X=330×6=>15X=1980
therefore, X+(5X/6)+(4X/6)=330=>(6X+5X+4X)/6=330=>15X/6=330=>15X=330×6=>15X=1980=>X=1980/15
=>X=132
therefore, The value of first prize = Rs.132
then ,The value of second prize = 5/6X =
(5/6)132= (5×132)/6=660/6=110
The value of second prize = Rs.110
then the value of third prize
then the value of third prize =4/5of the second prize
=(4/5)×110=(4×110)/5=440/5=88
the value of third prize =Rs.88
Check:
sum of the three prizes =Rs.330
132+110+88 =Rs.330