2 Views

Question : The internal length of a room is two times its breadth and three times its height. The total cost of painting its four walls at the rate of INR 25/m2 is INR 3,600. What is the cost of laying a carpet on its floor at the rate of INR 90.50/m2?

Option 1: INR 6,516

Option 2: INR 7,240

Option 3: INR 5,430

Option 4: INR 5,970


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 8th Jan, 2024

Correct Answer: INR 6,516


Solution : The total cost of painting its four walls at the rate of INR 25/m$^2$ is INR 3,600.
Rate  = INR 90.50 per m$^2$
The area of four walls, A = $2(l + b)h$, where $l,b$ and $h$ are the length, breadth and height respectively.
Area of floor = $l × b$
Let the length of the room be $6x$.
Breadth of the room $=\frac{6x}{2}= 3x$
Height of the room $=\frac{6x}{3}= 2x$
Cost of painting INR 25/m$^2$
Area of four wall = $(\frac{1}{25}) × 3600$ = 144 m$^2$
So, $2(6x + 3x) × 2x = 144$
⇒ $2x × 18x = 144$
⇒ $36x^2 = 144$
⇒ $x^2 = \frac{144}{36} = 4$
⇒ $x = \sqrt{4} = 2$
Area of floor $=l × b = 6x × 3x = 6 × 2 × 3 × 2 = 72$ m$^2$
Cost of laying carpet on 1 m$^2$ = 90.50
Cost of laying carpet on = 72 m$^2$ = 90.50 × 72 = INR 6,516
Hence, the correct answer is INR 6,516.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books