Question

The cost of 1 litre milk is $₹30\frac{3}{4}$. Find the cost of $2\frac{1}{3}$ litre of milk.

• A. $₹71\frac{3}{4}$
• B. $₹70\frac{3}{4}$
• C. $₹17\frac{3}{4}$
• D. $₹27\frac{3}{4}$

Answer 1

The correct option is A $₹71\frac{3}{4}$

Cost of 1 litre of milk $=₹30\frac{3}{4}=\frac{(30\times 4)+3}{4}=₹\frac{123}{4}$

$\therefore$ The cost of $2\frac{1}{3}$ litre of milk $=\frac{123}{4}\times 2\frac{1}{3}$

$=\frac{123}{4}\times \frac{(2\times 3)+1}{3}$

$=₹\frac{123}{4}\times \frac{7}{3}$

$=₹\frac{41}{4}\times 7$

$=₹\frac{287}{4}$

$=₹\frac{(71\times 4)+3}{4}$

$=₹71\frac{3}{4}$