question_answer

25 bags of wheat each weighing 40 kg cost?  Rs. 2750. Find the cost of 35 bags of wheat, if each bag weight 50 kg.

Answer:

We have. Quantity of wheat in one bag = 40 kg. \[\therefore \] Quantity of wheat in 25 bags \[\text{=(40}\times \text{25) }kg\]            \[=1000\text{ }kg\].                                                                                             If Quantity of wheat in one bag = 50 kg. \[\therefore \] Quantity of wheat in 35 bags \[\text{=(50}\times 3\text{5) }kg\]            \[=1750\text{ }kg\].                                                                                             Now, cost of 1000 kg of wheat = Rs. 2750 \[\therefore \]      cost of 1 kg of wheat = Rs. \[\left( \frac{2750}{1000} \right)\] Hence, the cost of 1750 kg of wheat                                                                                                                                  = Rs. \[\left( \frac{2750}{1000}\times 1750 \right)\]= Rs. \[\frac{9625}{2}\]                         = Rs. \[4812.50\]                                                                                                            Thus, 35 bags of 50 kg each will cost Rs. 4812.50.