Multiple choice

Passage

Directions: Refer to the data given below. The first set of data gives information about the number of units of different products sold by store from 2001 to 2004 and the second set of data gives information about the profit earned per unit of product from 2001 to 2004. Units of Products Sold Year P Q R S 2001 253 359 450 500 2002 150 320 220 300 2003 180 320 150 520 2004 200 660 500 505 Profit per unit of product (in Rupees) Year P Q R S 2001 30 35 40 50 2002 50 80 40 60 2003 40 30 80 40 2004 50 40 50 80

If the profit of store from product S from 2001 to 2004 is represented in the form of pie chart, then what is the central angle corresponding to profit of store from product S in 2003?

  1. 67.85°

  2. 69.25°

  3. 71.86°

  4. 72.46°

  5. 74.86°
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit from S: 2001 (500*50=25000), 2002 (300*60=18000), 2003 (520*40=20800), 2004 (505*80=40400). Total profit = 25000+18000+20800+40400 = 104200. Angle for 2003 = (20800 / 104200) * 360 = 0.1996 * 360 = 71.86 degrees.

AI explanation

Calculate the total profit for product S for each year by multiplying the units sold by the profit per unit. For 2001, it is 500 times 50 = 25000; for 2002, it is 300 times 60 = 18000; for 2003, it is 520 times 40 = 20800; and for 2004, it is 505 times 80 = 40400. Add these profits to find the total: 25000 + 18000 + 20800 + 40400 = 104200. Since a pie chart represents a full 360 degrees, multiply the fraction of the 2003 profit by the total profit by 360 degrees: (20800 divided by 104200) multiplied by 360 equals approximately 71.86 degrees.

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