A bill for 1 840 is paid in the denominations of 50 20 and 10 notes 50 notes in all are used Conside...........

Math and Mental Ability Simplification

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?

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Complete-Test, Previous year (2022)

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Explanation:

Total amount = Rs. 1840
Let the number of Rs. 50, Rs. 20, and Rs. 10 notes be a, b and c respectively.
Now, let’s check the statements.
Statement 1: 25 notes of Rs. 50 were used. So, remaining amount = 1840 – (25 × 50) = 1840 – 1250 = Rs. 590.
Even if all the remaining 25 notes are of Rs. 20 denomination, we will only get Rs. 500. So, Statement 1 is definitely incorrect.
Statement 2: 35 notes of Rs. 20 were used. So, remaining amount = 1840 – (35 × 20) = 1840 – 700 = Rs. 1140.
Even if all the remaining 15 notes are of Rs. 50 denomination, we will only get Rs. 750. So, Statement 2 is definitely incorrect.
Statement 3: 20 notes of Rs. 10 were used. So, remaining amount = 1840 – (20 × 10) = 1840 – 200 = Rs. 1640.
Even if all the remaining 30 notes are of Rs. 50 denomination, we will only get Rs. 1500. So, Statement 3 is definitely incorrect.