Vaibhav purchased some parrots. 20% flew away and 5% died, of the remaining 45% were sold. Now 33
parrots remains. How many parrots had Vaibhav purchased?
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Answer:
80 parrots
step by step explaination:
Consider Chandani purchased x parrots
No. of parrots flew away =20% of x
It can be written as
=20/100×x
So we get
=1/5×x
=x/5
No. of parrots died =5% of x
It can be written as
=5/100×x
=x/20
No. of parrots remaining = x−(x/5+x/20)
Taking LCM
=x−[(4x+x)/20]
By further calculation
=x−5x/20
=x−x/4
Taking LCM
=3x/4
No. of sold parrots = 45% of 3x/4
It can be written as
=45/100×3x/4
By further calculation
=9/20×3x/4
=27x/80
No. of parrots which are not sold =3x/4−27x/80
Taking LCM
=(60x−27x)/80
=33x/80
Based on the question
33x/80=33
By cross multiplication
33x=33×80
So we get
x=(33×80)/33
x=80
Therefore, Chandani purchased 80 parrots
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