Two farmers were cultivating wheat on their respective agricultural land in a village. Farmer A had an average production of 20 bushels from a hectare. Farmer B, who had 15 hectares of more land dedicated to wheat cultivation, had and output of 30 bushels of wheat from a hectare. If farmer B harvested 530 bushels of wheat more than farmer A, how many bushels of wheat did farmer A cultivate?
Explanation:
If farmer A had x hectares, farmer B would have had (x + 15) hectares. Average production of farmers A and B is 20 bushels and 30 bushels respectively.
∴ Total production of A = 20x and total production of B = 30(x + 15)
Since total production of B exceeds that of A by 530 bushels; 30(x + 15) – 20x = (10x + 450) = 530
∴ 10x = 80 i.e. x = 8
∴ Total cultivation of farmer A = 20x
= 160 bushels Hence, option (c).
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