Question

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

• A. $₹18\frac{3}{4}$
• B. $₹17\frac{3}{4}$
• C. $₹16\frac{3}{4}$
• D. $₹15\frac{3}{4}$

Answer 1

The correct option is A

$₹18\frac{3}{4}$

Cost of $5\frac{2}{5}$ litres of milk = ₹ $101\frac{1}{4}$

$\Rightarrow$ Cost of $\frac{25+2}{5}$ litres of milk = ₹ $\frac{404+1}{4}$

$\Rightarrow$ Cost of $\frac{27}{5}$ litres of milk = ₹ $\frac{405}{4}$

$\Rightarrow$ Cost of 1 litre of milk = ₹ $\frac{405}{4}$ $÷$ $\frac{27}{5}$

= ₹ $\frac{405}{4}$ $\times$ $\frac{5}{27}$

= ₹ $\frac{75}{4}$

= ₹ $18\frac{3}{4}$

Therefore, the cost of one litre of milk is ₹ $18\frac{3}{4}$.