Question
Download Solution PDFThe average weight of 271 fertilizer bags is 71 kgs. If the weight of the box (in which the fertilizer bags are kept) be included, the calculated average weight per fertilizer bag increases by 0.8 kg. What is the weight of the box? (in kg)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average weight of 271 fertilizer bags = 71 kg
Including the weight of the box, the average increases by 0.8 kg
Number of bags = 271
Formula used:
Total weight = Average × Number of items
Weight of the box = (New total weight) - (Old total weight)
Calculation:
Old total weight = 71 × 271 = 19241 kg
New average = 71 + 0.8 = 71.8 kg
New total weight = 71.8 × 271
⇒ New total weight = 19457.8 kg
Weight of the box = New total weight - Old total weight
⇒ Weight of the box = 19457.8 - 19241 = 216.8 kg
∴ The correct answer is option (1).
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