A bill for 1,840 is paid in the denominations of 50, 20 and 10 notes. 50 notes in all are used. Consider the following statements: 1. 25 notes of 50 are used and the remaining are in the denominations of 20 and 10. 2. 35 notes of 20 are used and the remaining are in the denominations of 50 and 10. 3. 20 notes of 10 are used and the remaining are in the denominations of 50 and 20. Which of the above statements are not correct?
1 and 2 only
2 and 3 only
2 and 3 only
1, 2 and 3
Total amount = Rs. 1840 Let the number of 50, 20, and 10 denomination notes be x, y and z respectively. So, 50x+20y+10z = 1840. Statement 1: 25 notes of 50 denomination were used. So, remaining amount = 1840 – (25 × 50) = 1840 – 1250 = 590. Now, even if we assume all the remaining 25 notes are of 20 denomination (highest denomination remaining), we will only get 500 (25x20) So, Statement 1 is incorrect. Statement 2: 35 notes of 20 denomination were used. So, remaining amount = 1840 – (35 × 20) = 1840 – 700 = 1140. Now, even if we assume all the remaining 15 notes are of Rs. 50 denomination (highest denomination remaining), we will only get 750 (15x50). So, Statement 2 is also incorrect. Statement 3: 20 notes of 10 denomination were used. So, remaining amount = 1840 – (20 × 10) = 1840 – 200 = 1640. Now, even if we assume all the remaining 30 notes are of Rs. 50 denomination (highest denomination remaining), we will only get 1500 (30x50). So, Statement 3 is also incorrect.
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