The cost of 105 envelopes is Rs. 35. How many envelopes can be purchased or Rs. 10?

Question

Accepted Answer

To determine how many envelopes can be purchased for Rs. 10, we start by calculating the cost per envelope based on the given information. The cost of 105 envelopes is Rs. 35. Therefore, the cost of one envelope is:

$$ \text{Cost per envelope} = \frac{35}{105} = \frac{1}{3} \text{ Rs. per envelope} $$

Now, we need to find out how many envelopes can be purchased for Rs. 10. We do this by dividing the total amount of money available (Rs. 10) by the cost per envelope:

$$ \text{Number of envelopes} = \frac{10}{\frac{1}{3}} = 10 \times 3 = 30 $$

Thus, 30 envelopes can be purchased for Rs. 10, which corresponds to Option 1.

**Explanation for why each option is incorrect:**

- **Option 2 (24 envelopes):** If 24 envelopes were purchased, the total cost would be $ 24 \times \frac{1}{3} = 8 $ Rs., which is less than Rs. 10. Therefore, this option is incorrect because it does not utilize the full Rs. 10 available.

- **Option 3 (32 envelopes):** If 32 envelopes were purchased, the total cost would be $ 32 \times \frac{1}{3} = \frac{32}{3} \approx 10.67 $ Rs., which exceeds Rs. 10. Therefore, this option is incorrect because it exceeds the budget.

- **Option 4 (27 envelopes):** If 27 envelopes were purchased, the total cost would be $ 27 \times \frac{1}{3} = 9 $ Rs., which is less than Rs. 10. Therefore, this option is incorrect because it does not utilize the full Rs. 10 available.

In conclusion, Option 1 is the only option that allows for the purchase of envelopes using exactly Rs. 10, making it the correct answer.