Question : The pie chart given below shows the price of 6 different articles. The total price of all these 6 articles is Rs. 5760. The price of a particular article is shown in terms of degree with respect to the total price of all these 6 articles. P1 = The difference between the average price of K and L and the average price of J and N P2 = The total price of J, M, N, and O What is the value of (P1 + P2)?
Option 1: 2426
Option 2: 3576
Option 3: 5426
Option 4: 3232
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Correct Answer: 3576
Solution : Given, The total price of all these 6 articles is Rs. 5760 P1 = The difference between the average price of K and L and the average price of J and N. Price of K = $\frac{42°}{360°}\times 5760=672$ And, Price of L = $\frac{116°}{360°}\times5760=1856$ $\therefore$ Average price of K and L = $\frac{1856+672}{2}=1264$ Price of J= $\frac{100°}{360°}\times 5760=1600$ And, Price of N = $\frac{15°}{360°}\times5760=240$ $\therefore$ Average price of J and N = $\frac{1600 + 240}{2}=920$ P1 = 1264 – 920 = Rs. 344 P2 = The total price of J, M, N, and O = Total Price – Price of K and L together = 5760 – 2528 = Rs. 3232 So, P1 + P2 = Rs. 344 + Rs. 3232 = Rs. 3576 Hence, the correct answer is 3576.
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