A farmer X sowed wheat in 2/5 acre of his field and rice in the remaining. If his field is 10 hectares. How many hectares are sown with rice?

1. 2 hectares
2. 4 hectares
3. 5 hectares
4. 6 hectares

The farmer sowed rice in 4 hectares of his field.

Here’s how we can find the area sown with rice:

1. Convert hectares to a more manageable unit: Since we’re dealing with fractions of hectares, it’s easier to convert it to a smaller unit for calculation. We can use square meters (sqm) as 1 hectare is equal to 10,000 sqm.

Total land area in sqm = 10 hectares * 10,000 sqm/hectare = 100,000 sqm

2. Area sown with wheat: We know the wheat is sown in 2/5 of the field.

Wheat area in sqm = 2/5 * 100,000 sqm = 40,000 sqm

3. Area sown with rice (remaining land): The remaining land is where rice is sown.

Rice area in sqm = Total land area – Wheat area = 100,000 sqm – 40,000 sqm = 60,000 sqm

4. Convert square meters back to hectares:

Rice area in hectares = Rice area in sqm / 10,000 sqm/hectare = 60,000 sqm / 10,000 sqm/hectare = 6 hectares

Therefore, the farmer sowed rice in 6 hectares of his field.

However, there seems to be a discrepancy in the answer choices you provided. While the calculation points to 6 hectares, none of the options match exactly. It’s possible there might be a mistake in the question or answer choices.