Question

A person had two plots of land. In each plot, he cultivated maize and barley. The ratio of the area under maize cultivation and barley cultivation in the larger plot is 8 : 9. The ratio of the total areas under maize cultivation and barley cultivation in the two plots together is 29 : 33. The ratio of the areas under maize cultivation and barley cultivation in the smaller plot is 13 : 15. The ratio of the area under maize cultivation in the larger plot and that under barley cultivation in the smaller plot is

Answer 1

Solution :-

Let us assume that,

• In larger plot , Maize cultivation area is 8x and barley cultivation area is 9x .
• In smaller plot , Maize cultivation area is 13y and barley cultivation area is 15y .

so,

→ (8x + 13y)/(9x + 15y) = 29/33

→ 264x + 429y = 261x + 435y

→ 264x - 261x = 435y - 429y

→ 3x = 6y

→ x/y = 2/1

then,

→ Maize cultivation in the larger plot : barley cultivation in the smaller plot = 8x : 15y = 8*2 : 15*1 = 16 : 15 (Ans.)

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