Question
If the length of the room is 10 m, then what is the
height of the room? I. The cost of painting the walls of the room at the rate of Rs. 25 per sq metre is Rs. 6,400. II. The cost of carpeting the floor at the rate of Rs. 140 per sq metre is Rs. 8,400. Direction (Q.116-120): each of the questions given below has one question and two statements marked I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:Solution
Let breadth and height of the room be b and h respectively. From I, Area of the four walls of the room = 2(10 + b)h = 6400/25 ⇒ 2(10 + b)h = 256 ⇒ (10 + b)h = 128 m……… (i) From II, 10 × b = 8400/140 ⇒ b = 8400/(140 ×10) = 6 m………(ii) By putting the value of b in equation (i), we get (10 + 6)h = 128 m ⇒ h = 128/16 = 8m. Therefore, both statement I and statement II together is required to answer the question.
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