Multiple choice

Passage

Directions: Read the information carefully to answer the question that follows. The premises of a school are to be renovated. The renovation is in terms of flooring. Certain areas are to be floored either with marble or wood. All classrooms/halls and pantry are rectangular. The area to be renovated comprises of a big hall measuring 25 m × 25 m, principal's room measuring 13 m × 17 m, a pantry measuring 14 m × 13 m, a recordkeeping cum server room measuring 21 m × 13 m and locker area measuring 29 m × 21 m. The total area of the school is 2000 square metres. The cost of wooden flooring is Rs. 100 per square metre and the cost of marble flooring is Rs. 150 per square metre. The locker area, recordkeeping cum server room and pantry are to be floored with marble. The principal's room and the hall are to be floored with wood. No other area is to be renovated in terms of flooring.

If the remaining area of the school is to be carpeted at a rate of Rs. 110/- per square metre, then how much will be the increment in the total cost of renovation of school premises?

  1. Rs. 8900

  2. Rs. 9900

  3. Rs. 7900

  4. Rs. 8500

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Renovated areas: Hall (625), Principal (221), Pantry (182), Server (273), Locker (609). Total renovated = 1910. Remaining area = 2000 - 1910 = 90. The question asks for the increment in cost for this remaining area if carpeted at 110/sqm. 90 * 110 = 9900.

AI explanation

The total area of the school is given as 2000 square metres. The areas to be floored with marble are the locker (29 * 21 = 609), server (21 * 13 = 273) and pantry (14 * 13 = 182), while the areas to be floored with wood are the hall (25 * 25 = 625) and the principal's room (13 * 17 = 221). The sum of these renovated areas is 609 + 273 + 182 + 625 + 221 = 1910 square metres, leaving a remaining area of 2000 - 1910 = 90 square metres. Carpeting this remaining area at 110 rupees per square metre increases the total cost by 90 * 110 = 9900 rupees. The increment in the total cost of renovation is Rs. 9900.

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