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Q.

The natives of Badarpur village take good care of plants, trees and animals. Inspired by natives of the Badarpur, Ankush assigned some land for the pets (camel and ox) and plants in his garden area. Find the ratio of the areas kept for animals and plants.


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a

377:1498

b

356:1565

c

250:667

d

None of these 

answer is A.

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Detailed Solution

We have been given that the natives of Badarpur village take good care of plants, trees and animals where Badarpur, Ankush assigned some land for the pets (camel and ox) and plants in his garden area.
We know that the area of the rectangle is the product of its length and breadth and the area of the circle is π r 2 .
According to the data, the area of the land assigned for the plants  = (9 ×1)  m 2  = 9  m 2
Now, the area of the land assigned for the animals = Area of land assigned for the animal
= (Area of the land allocated for Ox) + (Area of land allocated for camel)
= (5 × 3) +  22 7  × 1.4 2 = 15 + (22×0.2×1.4) =15+6.16 = 21.16   m 2
So, the total area of the land assigned for the plants and animals will be the sum of the areas as found above, i.e.,
= 9 + 21.16  = 30.16  m 2
Now,the area of the living land = (Total area of the complete land) – (Total area of land allocated for only plants and animals)
=(15 ×10) − (30.16)  m 2 =119.84  m 2  Now, as asked in the question, the ratio of the respective areas will be,
=  Area of the land for plants and animals Area of living land = 30.16 119.84 = 3016 11984 = 377 1498 =377:1498
So, the ratio of the respective areas of lands is found as 377:1498.
Hence, the correct option is (1).
 
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