Question

If the cost of $5\frac{2}{5}$ litres of milk is ₹$101\frac{1}{4}$, find the 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

$₹18\frac{3}{4}$

We will first convert mixed fraction into improper fraction.

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

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

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

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

$=₹\frac{405\times 5}{4\times 27}$

$=₹\frac{75}{4}$

$=₹18\frac{3}{4}$