Question : The bar graph given below shows the sales of bikes and cars by five companies. P1 = The difference between the average sales of bikes and average sales of cars of all 5 companies. P2 = The total value of the sales of bikes and cars of all 5 companies. What is the value of (P2 – P1)?
Option 1: 5320
Option 2: 4926
Option 3: 6100
Option 4: 5920
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Correct Answer: 5920
Solution : Given, P1 = The difference between the average sales of bikes and average sales of cars of all 5 companies. ⇒ P1 = $\frac{900+450+650+800+700}{5}-\frac{400+350+550+600+700}{5}$ ⇒ P1 = $\frac{3500}{5}-\frac{2600}{5}$ ⇒ P1 = 700 – 520 ⇒ P1 = 180 And, P2 = The total value of the sales of bikes and cars of all 5 companies. ⇒ P2 = (900 + 450 + 650 + 800 + 700) + (400 + 350 + 550 + 600 + 700) ⇒ P2 = 3500 + 2600 ⇒ P2 = 6100 $\therefore$ P2 – P1 = 6100 – 180 = 5920 Hence, the correct answer is 5920.
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