A sold his bike to b at a profit of 20%. b sold the bike at a loss of 20% to
c. if c sold the bike for rs 3300 which earned him a profit of 10% then find the rate at which a purchased the bike?
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when "c" sold the bike sp =3300 and profit=10%
so cp= 100/110*3300=3000
so cp of c =3000
____________________
when "b"sold the bike sp=3000 and loss=20%
so cp=100/80*3000=3750
so cp of b = 3750
_____________________
when "a" sold the bike sp=3750 and profit=20%
so cp =100/120*3750=3125
hence , rate of "a" purchased bike =3125
so cp of a = 3125
______________________
note- sp = selling price and cp=cost price
so cp= 100/110*3300=3000
so cp of c =3000
____________________
when "b"sold the bike sp=3000 and loss=20%
so cp=100/80*3000=3750
so cp of b = 3750
_____________________
when "a" sold the bike sp=3750 and profit=20%
so cp =100/120*3750=3125
hence , rate of "a" purchased bike =3125
so cp of a = 3125
______________________
note- sp = selling price and cp=cost price
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