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Question 1672 :
Rajesh and Vimal own 20 hectares and 30 hectares of agricultural land, respectively, which are entirely
covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by
Vimal are in the ratio of 5 : 3. If the total cultivation area of wheat and mustard are in the ratio 11 : 9, then
the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is

A.
4 : 3
B.
7 : 9
C.
3 : 7
D.
1 : 1

Video Explanation

Explanatory Answer

Total land area $= 20 + 30 = 50$ hectares
In the total land area
Wheat part $= \frac{11}{20} \times 50 = \frac{55}{2}$
Mustard part $= \frac{9}{20} \times 50 = \frac{45}{2}$
In Vimal's land area
Mustard
Wheat part $= \frac{5}{8} \times 30 = \frac{75}{4}$
Mustard part $= \frac{3}{8} \times 30 = \frac{45}{4}$
So, the land area for Rajesh
Wheat part $= \frac{55}{2} - \frac{75}{4} = \frac{35}{4}$
Mustard part $= \frac{45}{2} - \frac{45}{4} = \frac{45}{4}$
Ratio, Wheat : Mustard $= \frac{35}{4} : \frac{45}{4} = 7 : 9$

The question is " Rajesh and Vimal own 20 hectares and 30 hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by Vimal are in the ratio of 5 : 3. If the total cultivation area of wheat and mustard are in the ratio 11 : 9, then the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is"

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Video Explanation

Explanatory Answer

The answer is "<p>7 : 9</p>"

Choice B is the correct answer.