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Ncert solution for class10math ch3 exercise 3.6
Important Questions – Answers For Practice
1. Sunita has some ₹ 50 and ₹ 100 notes amounting to a total of ₹ 15,500. If the total number of notes is 200, the find how many notes of ₹ 50 and ₹ 100 each, she has. [Answer: ₹50 notes = 90, ₹100 notes = 110]
2. The electric bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 200 units are consumed, the bill is ₹107. In another month, 300 units are consumed and the bill is ₹154. If yet another month, 500 units are consumed, find the bill for the month. [Answer: ₹248]
3. Solve graphically the pair of linear equations 3x – 4y + 3 = 0 and 3x + 4y – 21 = 0. Find the co-ordinates of vertices of triangular region formed by these lines and x-axis. Also calculate the area of this triangle. [Answer: Solutions (3, 3). Vertices: (-1, 0), (7, 0) and (3, 3). Area = 12 square units]
Questions From Board Papers
1. A railway half ticket costs half the full fare and the reservation charges is same on half ticket as on full ticket. One reserved first class ticket from Mumbai to Ahmedabad costs ₹216 and one full and one half reserved first class ticket costs ₹327. What is the basic first class full fare and what is the reservation charge? [Answer: Fare = ₹210 reservation charge = ₹6]
2. A man travels 600 km to his home partly by train and partly by bus. He takes 8 hours, if he travels 120 km by train and rest by bus. Further, it takes 20 minute longer, if he travels 200 km by train and rest by bus. Find the speeds of the train and the bus. [Answer: 60 km/h, 80 km/h]
