Price of a cricket ball is Rs. (a−b)(a2+ab). Value of a and b in two consecutive years is given in the following table. Year2015a=3,b=22016a=4,b=3 What is the increase in the price of the cricket ball in rupees?
A
Rs. 13
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B
Rs. 25
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C
Rs. 15
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D
Rs. 23
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Solution
The correct option is A Rs. 13 Price of the ball =Rs. (a−b)(a2+ab) In 2015, price =(3−2)(32+3×2)=1×(9+6)=Rs.15 In 2015, price =(4−3)(42+4×3)=1×(16+12)=Rs.28 Increase in the price = 28 – 15 = Rs. 13