Barber Floyd
02/13/2023 · Middle School
7. 25 bags of wheat eagh weighing 40 kg cost \( ₹ 2750 \). Find the cost 0.35 bags of wheat, if each weigring 50 kg .
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Step-by-step Solution
To find the cost of 0.35 bags of wheat, each weighing 50 kg, we first need to determine the cost per kg of wheat from the given information.
1. **Calculate the total weight of the 25 bags of wheat:**
\[
\text{Total weight} = 25 \text{ bags} \times 40 \text{ kg/bag} = 1000 \text{ kg}
\]
2. **Calculate the cost per kg of wheat:**
\[
\text{Cost per kg} = \frac{₹ 2750}{1000 \text{ kg}} = ₹ 2.75 \text{ per kg}
\]
3. **Calculate the weight of 0.35 bags of wheat, each weighing 50 kg:**
\[
\text{Weight of 0.35 bags} = 0.35 \text{ bags} \times 50 \text{ kg/bag} = 17.5 \text{ kg}
\]
4. **Calculate the cost of 17.5 kg of wheat:**
\[
\text{Cost of 17.5 kg} = 17.5 \text{ kg} \times ₹ 2.75 \text{ per kg} = ₹ 48.125
\]
Thus, the cost of 0.35 bags of wheat, each weighing 50 kg, is **₹ 48.13** (rounded to two decimal places).
Quick Answer
The cost of 0.35 bags of wheat, each weighing 50 kg, is ₹ 48.13.
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