Question

Convert the following into quintal: 400 ton
(A) 400 quintals
(B) 4000 quintals
(C) 40 quintals
(D) 4 quintals

Answer 1

We solve this problem by first converting the given tons into kilograms by using the formula 1 ton = 1000 kgs. Then we use the formula 1 quintal = 100 kgs to convert the obtained value in kilograms to quintals to find the required answer.

Complete step by step answer:
We need to convert the given weight in tons to quintals.
The weight we are given is 400 ton.
Now let us consider the relation between a ton and kilograms.
1 ton is equal to 1000 kilograms, that is 1 ton = 1000 kg

Now, let us convert the given weight in tons to kgs using above
Then 400 tons is equal to
$\begin{aligned} & 400\text{tons}=400\times 1000\text{kgs} \\\ & 400\text{tons}=400000\text{kgs} \\\ \end{aligned}$
So, we get that 400tons is equal to 400000 kilograms.

Now, let us consider the relation between quintal and kilogram
1 quintal is equal to 100 kilograms, that is 1 quintal = 100 kg.
Then 1 kilogram is equal to
$1kg=\dfrac{1}{100}$ quintals

Using this we can convert the above obtained value 400000 kilograms into quintals as,
$400000\times \dfrac{1}{100}=4000$
So, we get that 400000 kilograms is equal to 4000 quintals.
Thereby, we get that 400 tons is equal to 4000 quintals.
Hence the answer is Option B.

Note:
The common mistake one does while solving this problem is one might take the formula for converting tons into kilograms and quintals into kilograms in reverse as,
1 ton = 100 kg
1 quintal = 1000 kg
In that case 400 tons is equal to $400\times 100=40000$ kgs. Then changing into quintals, we get,
$40000\times \dfrac{1}{1000}=40$
That is, we get 40 quintals which is option C. So, one needs to be careful while using those formulas.