Question

Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is
A.5,00,000 kg
B.4,00,000 kg
C.4,50,000 kg
D.None of these

Answer 1

_______✨ HEY MATE ✨_______

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SOLUTION :-
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Let 100 kg of hematite be obtained then 20% of it get wasted that means 80 kg of ore remains.
Pure iron = 25% of remaining ore = 80*25/100 = 20 kg. 
20 kg pure Iron is obtained from 100 of hematite. 
1 kg pure Iron is obtained from = 100/20 hematite; 
Then, 80000 kg pure Iron is obtained from = (100/20)*80000 = 400000 kg hematite.

So , Option (B) 4,00,000 kg is the right answer ✔️

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Answer 2

Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is
A.5,00,000 kg
B.4,00,000 kg✔✔✔
C.4,50,000 kg
D.None of these