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

$₹18\frac{3}{4}$

$Costof5\frac{2}{5}litresofmilk=₹101\frac{1}{4}$

$\Rightarrow Costof\frac{25+2}{5}litresofmilk=₹\frac{(404+1)}{4}$

$\Rightarrow Costof\frac{27}{5}litresofmilk=₹\frac{405}{4}$

$\Rightarrow Costof1litreofmilk=₹(\frac{405}{4}÷\frac{27}{5})=₹(\frac{405}{4}\times \frac{5}{27})=₹\frac{75}{4}=₹18\frac{3}{4}$

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