Question

Find ratio of each of the following in simplest form.
80 Kg to 2 quintals.

Answer 1

Hint: Use quantity conversion. Conversion of units is the conversion between different units of measurement for the same quantity. Use relation between kg and quintals.

Complete step-by-step answer:
We know that,
1 quintal = 100Kgs
Now,
Ratio in Kg:
\[ \Rightarrow \dfrac{{80kgs}}{{2qu\operatorname{int} als}} = \dfrac{{80}}{{200}} = \dfrac{2}{5}\]
Ratio in quintals:
\[ \Rightarrow \dfrac{{80kgs}}{{2qu\operatorname{int} als}} = \dfrac{{\dfrac{{80}}{{100}}}}{2} = \dfrac{{80}}{{2 \times 100}} = \dfrac{2}{5}\]
Thus from both ways the ratio remains the same.

Additional information:
There are various units for measuring the weight.
We usually know kilogram, gram, ton, quintal are some of those units.
But when it needs to measure quantity in bulk like trucks of food grains, steel ,iron or heavy materials we use these higher units.
There can be slight variation in conversion of these standards from country to country.
For example in U.S. 1 ton= 9.072 quintals.
In India it is 1 ton = 1000kg
1000 g = 1 kg
1 quintal = 100 Kg
1 ton = 1000 kg
These conversions are just to make you friendly with the units.
Generally ratios are obtained in units that measure the same quantity.
Like we have ratios of ,
Days, weeks, months, years (duration)
Liter, milliliter, gallon (capacity)
Rupees, paise (currency)
Millimeter, Centimeter, meter, km , foot, inch (length)

Note: Whenever we convert the units always remember their relation. A conversion factor is used to change the units of a measured quantity without changing its value.