Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent ₹ 1300 and Rajesh spent ₹ 1500. If each racket costs three times a ball does, then what is the price of a racket?

Correct Answer: (C) ₹ 210

Total amount spent on 10 balls and 10 rackets is $1300 + 1500 =$$\text{₹ }$ 2800. Let the cost of a ball be $b$, so each racket costs $3b$. The total equation is $10b + 10(3b) = 40b = 2800$, which gives $b = 70$. Therefore, the price of a racket is $3$$\times$ 70 = $\text{₹ }$ 210.