Question

25 bags of rice weighing 40kg cost Rs2750/- Find the cost of 35 bags of rice bag weight 50kg.

Answer 1

Hint: Here the question need to solve for the total cost of given bags of rice, in order to solve it we need to obtain the cost of one bag, for which the question provides a relation of bags of rice with total cost, by using that we need to find the cost of one bag then we can reach for the total cost we need to find.

Complete step-by-step answer:
Here in order to find the total cost asked by the question, first we need to calculate the cost of one bag of rice, in order to get that we will use the relation given in the question for 25 bags of rice, on solving we get:
Given that 25 bags rice cost Rs2750/- where each bag contain 40kg of rice, on solving we get:
 \[ \Rightarrow \cos t\,of\,one\,bag = \dfrac{{2750}}{{25}} = 122Rs\]
Now we have to calculate the cost of rice for per kg:
 \[ \Rightarrow \cos t\,of\,per\,kgof\,rice = \dfrac{{122}}{{40}} = 3.05Rs\]
Now we have to first calculate the total weight in 50kg bags for 35 bags, on solving we get:
 \[ \Rightarrow total\,weight = 50 \times 35 = 1750kg\]
Now cost of this much rice can be calculated by multiplying by the cost of per kg of rice, on solving we get:
 \[ \Rightarrow total\,\cos t = 1750 \times 3.05 = 5337.5Rs\]
So, the correct answer is “5337.5Rs”.

Note: The above question can be solved by ratio and proportion method, where we have to take the cost for some kg of rice to the number of bags, then on comparing with the required question we can solve for the result.