in a box of mangoes 80% mangoes are of superior quality and the rest are of inferior quality if 10 mangoes of the inferior quality are removed then there will be 96% superior quality mango what is the total number of mangoes in the box
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12
Answer:
60
Step-by-step explanation:
Let the total number of mangoes = x.
Superior = 80% of x = (80/100)*x = 4x/5
Inferior = 20% of x = (20/100)*x = x/5
Now, 10 inferior were removed. So, Number of inferior mangoes = (x/5) - 10.
Now,
percentage of superior = (no. of superior)/(total number of mangoes)*100
=> 96 = (4x/5)/{ (4x/5) + (x/5) - 10 } * 100
=> 96/100 = (4x/5)/(x-10)
=> x = 60
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