UPSC Prelims 2014·CSAT·Quantitative Aptitude·Arithmetic

For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs. 5 each, one-third at the rate of Rs. 3 each and the rest for Rs. 2 each. What was the total amount received?

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Last updated 23 May 2026, 3:31 pm IST
  1. ARs. 900
  2. BRs. 1,540
  3. CRs. 1,610Correct
  4. DRs. 2,000

Explanation

Here's a breakdown of the calculation: 1. Tickets sold at Rs. 5 each: Half of 420 = 210 tickets. Revenue = 210 * 5 = Rs. 1050. 2. Tickets sold at Rs. 3 each: One-third of 420 = 140 tickets. Revenue = 140 * 3 = Rs. 420. 3. Remaining tickets sold at Rs. 2 each: Total tickets sold so far = 210 + 140 = 350 tickets. Remaining tickets = 420 - 350 = 70 tickets. Revenue = 70 * 2 = Rs. 140. 4. Total amount received: Total = 1050 (from Rs. 5 tickets) + 420 (from Rs. 3 tickets) + 140 (from Rs. 2 tickets) Total = Rs. 1610. Therefore, option C is correct. Analysis of options: A) Rs. 900 is incorrect as it's significantly lower than the actual total. B) Rs. 1,540 is incorrect; it might result from a calculation error, perhaps miscalculating the last category or summing incorrectly. C) Rs. 1,610 is the correct total amount received from all ticket sales. D) Rs. 2,000 is incorrect as it's higher than the actual total.
Quantitative Aptitude: For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs. 5 each, one-thir

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