For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of ₹ 5 each, one-third at the rate of ₹ 3 each and the rest for ₹ 2 each. What was the total amount received ?
- (a) ₹ 900
- (b) ₹ 1,540
- (c) ₹ 1,610 ✓ UPSC's answer
- (d) ₹ 2,000
Why the answer is (c)
• Total tickets sold = 420.
• Half sold at ₹5: 420 / 2 = 210 tickets; amount = 210 × 5 = ₹1,050.
• One-third sold at ₹3: 420 / 3 = 140 tickets; amount = 140 × 3 = ₹420.
• Remaining tickets: 420 - 210 - 140 = 70 tickets; amount = 70 × 2 = ₹140.
• Total amount = 1,050 + 420 + 140 = ₹1,610.
• Therefore, option (c) is correct.
Why the other options are wrong
- (a) ₹ 900
- ₹900 is significantly lower than the calculated total of ₹1,610, likely resulting from incorrect ticket distribution or rate application.
- (b) ₹ 1,540
- ₹1,540 does not match the sum of the individual category revenues (1,050 + 420 + 140).
- (d) ₹ 2,000
- ₹2,000 exceeds the actual total revenue of ₹1,610, indicating an overestimation of ticket prices or quantities.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2014, held on 24 August 2014. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.