Question

If the cost of 1kg rice is Rs. 40. Find the price of 1kg 500gm rice.

Answer 1

Hint:We know that 1kg is equal to 1000 grams, that is, \[1kg=1000gm\] . Using this, convert 1kg 500gm in kg. It is given that the cost of 1kg rice is Rs. 40. Now, solve further and get the price of 1kg 500gm rice.

Complete step-by-step answer:
According to the question, it is given that the cost of 1kg of rice is Rs.40 and we have to find the price of 1kg 500gm rice.
First of all, we have to convert 1kg 500gm in kg units.
We know the relation between gram and kilogram, that is, \[1kg=1000gm\] .
1000 gm = 1 kg.
1 gm = \[\dfrac{1}{1000}kg\] ………………..(1)
Using equation (1), converting 500gm in kg.
500gm = \[\dfrac{500}{1000}kg\]= 0.5 kg.
So, 1kg 500gm = \[1kg\,+\,0.5kg\] = 1.5 kg.
Cost of 1kg rice = Rs. 40.
So, the cost of 1.5kg rice = Rs. \[\left( 40\times 1.5 \right)\] = Rs. 60.
Hence, the price of 1kg 500gm rice is Rs. 60.

Note: This question can also be solved by converting 1kg 500gm in grams.
It is given that the cost of 1 kg rice is Rs. 40.
We know that, \[1kg=1000gm\] …………………(1)
Using equation (1), converting 1kg 500gm into grams, we get
1kg 500gm = 1000 gm + 500 gm = 1500 gm.
The cost of 1000gm rice = Rs. 40.
Cost of 1gm rice = Rs. \[\dfrac{40}{1000}\] .
Cost of 1500 gm rice = Rs. \[\dfrac{40}{1000}\times 1500\] = Rs. 60.
Hence, the price of 1kg 500gm rice is Rs. 60.