Question

If the cost of $5\frac{2}{5}$ litres of milk is ₹$101\frac{1}{4}$, then 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 = ₹ $101\frac{1}{4}$
i.e., Cost of $\frac{25+2}{5}$ litres of milk = ₹$\frac{404+1}{4}$
i.e., 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 ₹ $18\frac{3}{4}$.