Question

Medicine is packed in boxes, each weighing 4Kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800Kg?
A.177
B.189
C.175
D.165

Answer 1

Hint: Here, in this question firstly we have to convert the weight of each medicine box into grams and then convert the total capacity of the van given in Kg into grams. Then by dividing the total carrying capacity of the van with the weight of one medicine box will give us the total number of boxes that can be loaded in the van.

Complete step-by-step answer:
Given Weight of each medicine box is 4Kg 500g
Convert the weight of each medicine box into grams. We know that 1Kg is equal to 1000 grams.
Therefore, Weight of each medicine box\[{\rm{ = (4 \times 1000) + 500 = 4500g}}\]
Now converting the carrying capacity of the van i.e. 800Kg into grams
Carrying capacity of van\[{\rm{ = 800 \times 1000 = 800000g}}\]
Now, we know that the number of the boxes that can be loaded in the van is equal to the ratio of the total load carrying capacity of the van to the weight of each medicine box.
Therefore, \[{\rm{number\, of\, boxes = }}\dfrac{{{\rm{Carrying\, capacity\, of\, van}}}}{{{\rm{Weight\, of\, each\, medicine\, box}}}}\]
\[{\rm{number\, of\, boxes = }}\dfrac{{800000}}{{4500}} = 177\]
Hence, 177 boxes can be loaded in a van which cannot carry beyond 800Kg.
So, option A is correct.

Note: We have to convert all the given data with different units into the common unit because it will make the calculations easy otherwise it may lead to the error in calculation which further gives the wrong answer.
It is always better to convert all the data into basic units like grams in case of weights, meters in case of lengths, seconds in case of time related problems. This conversion of the values into the basic units will make the calculations so easy and error free.