A field of 500 Km2 is divided into two parts. The difference of the ar

1.	A field of 500 Km2 is divided into two parts. The difference of the areas of two parts is 4/5 of the average of two areas. What is the area of smaller part in kilometres?1. 350 km22. 150 km23. 225 km24. 300 km25. 275 km2
Answer» Correct Answer - Option 2 : 150 km2 Solution: Let the larger area be x Km² and smaller area be y Km². ⇒ x + y = 500 ----(1) According to the question, the difference of the areas of two parts is 4/5 of the average of two areas. ⇒ (x – y) = 4/5[(x + y)/2] ⇒ (x – y) = 2/5(x + y) ----(2) Put the value of (x + y) from equation (1) in equation (2), ⇒ (x - y) = 2/5 × 500 ⇒ x – y = 200 ----(3) On solving equation (1) and (3) we get, ⇒ x = 350 Km² and y = 150 Km² Hence the area of smaller part is 150 Km².

A field of 500 Km2 is divided into two parts. The difference of the areas of two parts is 4/5 of the average of two areas. What is the area of smaller part in kilometres?1. 350 km22. 150 km23. 225 km24. 300 km25. 275 km2

Answer» Correct Answer - Option 2 : 150 km2

Solution:

Let the larger area be x Km² and smaller area be y Km².

⇒ x + y = 500 ----(1)

According to the question, the difference of the areas of two parts is 4/5 of the average of two areas.

⇒ (x – y) = 4/5[(x + y)/2]

⇒ (x – y) = 2/5(x + y) ----(2)

Put the value of (x + y) from equation (1) in equation (2),

⇒ (x - y) = 2/5 × 500

⇒ x – y = 200 ----(3)

On solving equation (1) and (3) we get,

⇒ x = 350 Km² and y = 150 Km²

Hence the area of smaller part is 150 Km².

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