Question

the cost of ploughing a rectangular field whose length is 15 m and breadth is 20 m is Rs 20 / m^2. if the length of rectangle is increased by 20 % and breadth by 25%.find the cost of ploughing field now

Answer 1

✰✰|| Given ||✰✰

• length of field = 15m

• breadth of field = 20m

• cost of ploughing = 20 per m²

✰✰|| To Find ||✰✰

• length of field after increase

• breadth of field after increase

• area of field after increase

• cost of ploughing

✪|| Solution ||✪

Let, the length of field after increase be x and breadth be y

length of field after increase = x

→ 15m+ 20/100 × 15 m = x

→ 15m + 3m = x

→ 18m = x

length of field after increase is 18m

breadth of field after increase = y

→ 20m + 25/100 × 20 m = y

→ 20m + 5m = y

→ 25m = y

breadth of field after increase is 25m

area of field after increase = 18m × 25m

→ area of field after increase = 450m²

Area of field after increase is 450m²

cost of ploughing = 450 × ₹ 20

→ cost of ploughing = ₹9000

Cost of ploughing the field is ₹9,000

Answer 2

Given

Cost of ploughing a rectangular field shose length is 15 m & breadth is 20 m is Rs.20/m². If length increased by 20% and breadth increased by 25% .

To find :

Cost of ploughing new field

Solution

Previous length = 15 m

Previous breadth = 20 m

Finding new length :

⇒ New length = 15 + (15 × 20%)

= 15 + (15 × 1/5)

= 15 + 3

= 18 m

Finding new breadth :

⇒ New breadth = 20 + (20 × 25%)

= 20 + (20 × 1/4)

= 20 + 5

= 25 m

★ Finding new area of field :

⇒ Area of field = Length × Breadth

= 18 × 25

= 450 m²

★ Now finding cost of ploughing :

⇒ Cost of ploughing = Rate × Area

= 20 × 450

= Rs. 9000

Therefore,

Cost of ploughing the new field = Rs.9000 .