An order was placed for the supply of a carpet whose breadth was 6 m and whose length were 1.44 times the breadth. What is the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. [The cost of a carpet is Rs. 45 per sq m.]

Correct option is C

Given:

First carpet:

Breadth = 6 m

Length = 1.44 times the breadth

Second carpet:

Length is 40% more than the first carpet.

Breadth is 25% more than the first carpet.

Cost of carpet = ₹45 per square meter.

Formula Used:

Area of a rectangle = Length × Breadth

Cost of the carpet = Area × Cost per square meter

Solution:

Dimensions of the first carpet:

Breadth = 6 m

Length = 1.44 × 6 = 8.64 m

Dimensions of the second carpet:

Length is 40% more than the first carpet:

Length = $$8.64 + 0.40 \times 8.64 = 8.64 \times 1.40 = 12.096 \text{ m}$$​​

Breadth is 25% more than the first carpet:

Breadth = $$6 + 0.25 \times 6 = 6 \times 1.25 = 7.5 \text{ m}$$​​

Area of the second carpet:

Area = $$12.096 \times 7.5 = 90.72 \text{ m}^2$$​​

Cost of the second carpet:

Cost = $$90.72 \times 45$$​ = ₹4082.4