Question

If the cost of $5\frac{2}{5}$ litres of milk is Rs. $101\frac{1}{4}$, What is its cost per litre?

• A. $Rs18\frac{3}{4}$
• B. $Rs17\frac{3}{4}$
• C. $Rs16\frac{3}{4}$
• D. $Rs15\frac{3}{4}$

Answer 1

The correct option is A

$Rs18\frac{3}{4}$

Cost of $5\frac{2}{5}$ litres of milk = Rs. $101\frac{1}{4}$
$\Rightarrow$ Cost of $\frac{25+2}{5}$ litres of milk = Rs. $\frac{404+1}{4}$
$\Rightarrow$ Cost of $\frac{27}{5}$ litres of milk = Rs. $\frac{405}{4}$
$\Rightarrow$ Cost of 1 litre of milk = Rs. $\frac{405}{4}$ $÷$ $\frac{27}{5}$
= Rs. $\frac{75}{4}$
= Rs. $18\frac{3}{4}$
Therefore, the cost of one litre of milk is Rs. $18\frac{3}{4}$