Shazia has a certain number of mangoes of which 14% are bad. she gives 80% of the remainder in charity then she has 253 left. how many had she at first
Answers
Calculation of number of Mangoes
Answer: Initial total number of mangoes with Shazia was approximately 1471.
Explanation:
given that from total number of mangoes , 14% are bad.
Out of the remaining good mangoes she gives 80% to charity.
then in the end she has left with 253 mangoes.
Need to calculate initial total number of mangoes
let assume initial total number of mangoes be represented by variable y
As 14% are bad , so remaining good mangoes = initial total number of mangoes - 14% of initial total number of mangoes
=> Remaining good mangoes = y - 14% of y = y - 14y/100 = (100y - 14y)/100
=> Remaining good mangoes = 86y/100
80% of Remaining good mangoes is donated to charity.
so number of mangoes left after charity = Remaining good mangoes - 80% of Remaining good mangoes = 86y/100 - 80% of 86y/100
=> number of mangoes left after charity = 86y/100 - (80/100) × (86y/100)
=> number of mangoes left after charity = 86y/100 ( 1 - (80/100)) = (86y/100 ) ( 20/100) = (86y/100 ) × 1/5 = 86y/500
but its given that number of mangoes left after charity = 253
=> 86y/500 = 253
on solving above expression for y we get
=> 86y = 253 × 500
=> y = (253 × 500)/86 = 1470.93≈ 1471
Hence initial total number of mangoes with Shazia = y = 1471.
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