Question

Rani picks a book which weighs 300g. Ankita picks a book and it weighs 300,000mg. Who picked the heavier book?

• A. Rani
• B. Ankita
• C. Both books are equally heavy
• D. Insufficient data

Answer 1

The correct option is C Both books are equally heavy

Weight of Rani's book = 300 g
Weight of Ankita's book = 300,000 mg
We know,
$\to {10}^3\text{g}=1\text{kg}$
$\to 1\text{g}=\frac{1}{{10}^3}\text{kg}$
$\to 1\times 300\text{g}=\frac{1}{{10}^3}\times 300\text{kg}=0.3\text{kg}$
$\therefore 300$g $=0.3$ kg

Also,
$\to {10}^6\text{milligram}=1\text{kg}$
$\to 1\text{milligram}=\frac{1}{{10}^6}\text{kg}$
$\to 1\times 300,000\text{milligram}=\frac{1}{{10}^6}\times 300,000\text{kg}=0.3\text{kg}$
$\therefore 300,000$mg $=0.3$ kg

Weight of Rani's book = Weight of Ankita's book $=0.3$ kg
Hence, Both books are of equal weight.