Question

If $\frac{3}{4}$ fraction of total number of oranges in a box weighs 3 kg and 225 gm, how much does total number of oranges in the box weigh (in kgs)?

• A. $\frac{43}{10}$ kg
• B. $\frac{45}{3}$ kg
• C. $4.3$ kg
• D. (a) and (c) above.

Answer 1

The correct option is D (a) and (c) above.

$1\text{kg}=1000\text{g}3\text{kg}=3000\text{g}$

$3\text{Kg}+225\text{g}=(3000+225)\text{g}=3225\text{g}$

Finding the weight of total number of oranges in the box :-

$\frac{3}{4}$ of oranges in box weighs $=3225\text{g}$

$\frac{1}{4}$ of oranges in box weighs $=\frac{3225}{3}=1075\text{g}$

Weight of total number of oranges in the box $=3225+1075=4300\text{g}$

converting into fraction we get $=\left(\frac{4000+300}{1000}\right)\text{kg}=(4+\frac{300}{1000})\text{kg}=(4+\frac{3}{10})\text{kg}=4\frac{3}{10}\text{kg}$