A and B share a piece of land. The ratio of the area of A's portion to the area of B's portion is 2 : 3. They each grow wheat and barley on their pieces of land. The entire land is covered by wheat and barley in the ratio 7 : 3. On A's land, the ratio of wheat do barley is 4: 1. The raito of wheat to barley for B's land is

Let total area of land = $$100$$ sq. units

=> Total area of A's land = $$40$$ sq. units and B's land = $$60$$ sq. units

Also, Total wheat in the land = $$\frac{7}{10}\times100=70$$ sq. units and similarly, total barley = $$30$$ sq. units

A' land : Wheat = $$\frac{4}{5}\times40=32$$ sq. units

Barley = $$40-32=8$$ sq. units

=> Remaining wheat = $$70-32=38$$ sq. units and remaining barley = $$30-8=22$$ sq. units

$$\therefore$$ Ratio of wheat to Barley for B's land = $$\frac{38}{22}=19:11$$

=> Ans - (B)