The weight of some papayas is 3 kg 30 gm and the weight of some apples is 1 kg 765 gm. By how much the weight of apples is less than the weight of papayas ?

Question

Accepted Answer

To determine how much the weight of apples is less than the weight of papayas, we need to perform a subtraction of the weights given in the problem.

1. **Convert the weights to grams for easier calculation:**
   - The weight of papayas is 3 kg 30 gm. Converting this to grams:
     $$
     3 \text{ kg} = 3000 \text{ gm}
     $$
     $$
     3000 \text{ gm} + 30 \text{ gm} = 3030 \text{ gm}
     $$
   - The weight of apples is 1 kg 765 gm. Converting this to grams:
     $$
     1 \text{ kg} = 1000 \text{ gm}
     $$
     $$
     1000 \text{ gm} + 765 \text{ gm} = 1765 \text{ gm}
     $$

2. **Calculate the difference in weight:**
   - Subtract the weight of apples from the weight of papayas:
     $$
     3030 \text{ gm} - 1765 \text{ gm} = 1265 \text{ gm}
     $$

3. **Convert the difference back to kilograms and grams:**
   - 1265 gm can be expressed as:
     $$
     1 \text{ kg} = 1000 \text{ gm}
     $$
     $$
     1265 \text{ gm} = 1 \text{ kg} + 265 \text{ gm}
     $$

Therefore, the weight of apples is 1 kg 265 gm less than the weight of papayas, which corresponds to **Option 2**.

**Explanation of why other options are incorrect:**

- **Option 1 (265 gm):** This option suggests that the difference is only 265 gm, which is incorrect because the actual difference is 1265 gm, not just 265 gm.

- **Option 3 (535 gm):** This option suggests a difference of 535 gm, which is incorrect. The calculated difference is 1265 gm, not 535 gm.

- **Option 4 (1 kg 535 gm):** This option suggests a difference of 1 kg 535 gm, which is incorrect. The actual difference is 1 kg 265 gm, not 1 kg 535 gm.

Thus, the correct answer is indeed **Option 2**, as it accurately reflects the calculated difference in weight between the papayas and apples.