A carpet was ordered with a width of 6 meters and a length that is 1.44 times its width. If another carpet has its length increased by 40% and its width increased by 25% compared to the original, what is the cost of this larger carpet given that the price is Rs. 45 per square meter?

Explanation

The original carpet's length is 1.44 times the width: 1.44 × 6 = 8.64 meters. The new carpet's length is increased by 40%, so length = 8.64 × 1.40 = 12.096 meters. The width is increased by 25%, so width = 6 × 1.25 = 7.5 meters. The area of the new carpet is 12.096 × 7.5 = 90.72 square meters. At Rs. 45 per square meter, the total cost is 90.72 × 45 = Rs. 4082.40.