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 ?
- (a) ₹ 70
- (b) ₹ 90
- (c) ₹ 210 ✓ UPSC's answer
- (d) ₹ 240
Why the answer is (c)
• Total amount spent by Rakesh and Rajesh is ₹1300 + ₹1500 = ₹2800.
• They bought a total of 10 balls and 10 rackets.
• Let the price of one ball be x, so the price of one racket is 3x.
• The total cost equation is 10x + 10(3x) = 2800.
• Simplifying gives 10x + 30x = 2800, which means 40x = 2800.
• Solving for x gives x = 70, so the price of a ball is ₹70.
• The price of a racket is 3x = 3 * 70 = ₹210.
Why the other options are wrong
- (a) ₹ 70
- ₹70 is the price of a ball, not a racket.
- (b) ₹ 90
- ₹90 does not satisfy the total cost equation of ₹2800 for 10 balls and 10 rackets.
- (d) ₹ 240
- ₹240 would imply a ball price of ₹80, leading to a total cost of ₹3200, which exceeds the actual expenditure.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2019, held on 2 June 2019. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.