Question:
The cost of $4 \mathrm{~kg}$ potato, $3 \mathrm{~kg}$ wheat and $2 \mathrm{~kg}$ of rice is ₹ 60 . The cost of $1 \mathrm{~kg}$ potato, $2 \mathrm{~kg}$ wheat and $3 \mathrm{~kg}$ of rice is ₹ 45 . The cost of $6 \mathrm{~kg}$ potato, $2 \mathrm{~kg}$ wheat and $3 \mathrm{~kg}$ of rice is ₹ 70 . Find the cost of each item per $\mathrm{kg}$ by matrix method.
Solution:
$X=5$
$\therefore$ The cost of $1 \mathrm{~kg}$ potatoes, wheat and rice is Rs.5, Rs.8 and Rs. 8 respectively.