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A shopkeeper bought a total of 20 bags of grains having an average weight of 60.5 kg per bag. Out of these, the average weight of the 7 rice bags was 60 kg per bag, while the average weight of a wheat bag was 4 kg more than that of a maize bag. If 9 of the bags contained wheat while the remaining contained maize, what is the average weight of a maize bag?

A shopkeeper bought a total of 20 bags of grains having an average weight of 60.5 kg per bag. Out of these, the average weight of the 7 rice bags was 60 kg per bag, while the average weight of a wheat bag was 4 kg more than that of a maize bag. If 9 of the bags contained wheat while the remaining contained maize, what is the average weight of a maize bag? Correct Answer 58 kg

Let the average weight of a maize bag be ‘x’ kg

No. of maize bags = 20 – 7 – 9 = 4

⇒ Total weight of 4 maize bags = 4x kg

Average weight of a wheat bag = (x + 4) kg

⇒ Total weight of 9 wheat bags = (9x + 36) kg

⇒ Total weight of 7 rice bags = 7 × 60 = 420 kg

Now,

Average weight of all bags = 60.5 kg

⇒ Total weight of all bags = 20 × 60.5 = 1210 kg

⇒ 4x + 9x + 36 + 420 = 1210

⇒ x = 754/13 = 58 kg

∴ Average weight of a maize bag = 58 kg

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