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Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?
- a)18
- b)17
- c)16
- d)19
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Suppose you have sufficient amount of rupee currency in three denomina...
1) 50 + 50 + 1 + 1 + 1 + 1 + 1 + 1 + 1
2) 50 + 10 +10+10+10+10+ 1 + 1 + 1 + 1 + 1 + 1 + 1
3) 50 + 10 + 10+10+10+ (17 *1)
∵17*1 means we use 1 rupees 17 times
∵17*1 means we use 1 rupees 17 times
4) 50 + 10 + 10 + 10 + 27*1
5) 50 + 10 +10 + 37*1
6) 50 +10 + 47*1
7) 50 + 57*1
8) 107*1
9) 10*10 + 7*1
here 10*10 mean we use 10 rupees 10 times
here 10*10 mean we use 10 rupees 10 times
10) 10*9 + 17*1
11) 10*8 + 27*1
12) 10*7 + 37*1
13) 10*6 + 47*1
14) 10*5 + 57*1
15) 10*4 + 67*1
16) 10*3 + 77*1
17) 10*2 + 87*1
18) 10*1 + 97*1
So there are total 18 ways to pay for bill
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Suppose you have sufficient amount of rupee currency in three denomina...
Solution:
To pay a bill of Rs. 107, we can use different combinations of Rs. 1, Rs. 10 and Rs. 50 notes.
Let's consider the number of Rs. 50 notes we can use:
- We can use 0, 1 or 2 Rs. 50 notes.
- If we use 2 Rs. 50 notes, we need to pay the remaining Rs. 7 using Rs. 1 and Rs. 10 notes.
- If we use 1 Rs. 50 note, we need to pay the remaining Rs. 57 using Rs. 1 and Rs. 10 notes.
- If we use 0 Rs. 50 note, we need to pay the entire Rs. 107 using Rs. 1 and Rs. 10 notes.
Now, let's consider the number of Rs. 10 notes we can use:
- If we use 2 Rs. 50 notes, we cannot use any Rs. 10 notes as it will exceed the bill amount.
- If we use 1 Rs. 50 note, we can use 0, 1 or 2 Rs. 10 notes to pay the remaining amount.
- If we use 0 Rs. 50 note, we can use 0 to 10 Rs. 10 notes to pay the amount.
Finally, let's consider the number of Rs. 1 notes we can use:
- If we use 2 Rs. 50 notes, we need to use 7 Rs. 1 notes to pay the remaining amount.
- If we use 1 Rs. 50 note and 2 Rs. 10 notes, we need to use 37 Rs. 1 notes to pay the remaining amount.
- If we use 1 Rs. 50 note and 1 Rs. 10 note, we need to use 47 Rs. 1 notes to pay the remaining amount.
- If we use 1 Rs. 50 note and 0 Rs. 10 notes, we need to use 57 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 10 Rs. 10 notes, we need to use 47 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 9 Rs. 10 notes, we need to use 57 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 8 Rs. 10 notes, we need to use 67 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 7 Rs. 10 notes, we need to use 77 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 6 Rs. 10 notes, we need to use 87 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 5 Rs. 10 notes, we need to use 97 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 4 Rs. 10 notes, we need to use 107 Rs. 1 notes to pay the remaining amount.
- If we use
To pay a bill of Rs. 107, we can use different combinations of Rs. 1, Rs. 10 and Rs. 50 notes.
Let's consider the number of Rs. 50 notes we can use:
- We can use 0, 1 or 2 Rs. 50 notes.
- If we use 2 Rs. 50 notes, we need to pay the remaining Rs. 7 using Rs. 1 and Rs. 10 notes.
- If we use 1 Rs. 50 note, we need to pay the remaining Rs. 57 using Rs. 1 and Rs. 10 notes.
- If we use 0 Rs. 50 note, we need to pay the entire Rs. 107 using Rs. 1 and Rs. 10 notes.
Now, let's consider the number of Rs. 10 notes we can use:
- If we use 2 Rs. 50 notes, we cannot use any Rs. 10 notes as it will exceed the bill amount.
- If we use 1 Rs. 50 note, we can use 0, 1 or 2 Rs. 10 notes to pay the remaining amount.
- If we use 0 Rs. 50 note, we can use 0 to 10 Rs. 10 notes to pay the amount.
Finally, let's consider the number of Rs. 1 notes we can use:
- If we use 2 Rs. 50 notes, we need to use 7 Rs. 1 notes to pay the remaining amount.
- If we use 1 Rs. 50 note and 2 Rs. 10 notes, we need to use 37 Rs. 1 notes to pay the remaining amount.
- If we use 1 Rs. 50 note and 1 Rs. 10 note, we need to use 47 Rs. 1 notes to pay the remaining amount.
- If we use 1 Rs. 50 note and 0 Rs. 10 notes, we need to use 57 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 10 Rs. 10 notes, we need to use 47 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 9 Rs. 10 notes, we need to use 57 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 8 Rs. 10 notes, we need to use 67 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 7 Rs. 10 notes, we need to use 77 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 6 Rs. 10 notes, we need to use 87 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 5 Rs. 10 notes, we need to use 97 Rs. 1 notes to pay the remaining amount.
- If we use 0 Rs. 50 note and 4 Rs. 10 notes, we need to use 107 Rs. 1 notes to pay the remaining amount.
- If we use
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Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer?
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Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer?.
Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer?.
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Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Suppose you have sufficient amount of rupee currency in three denominations : Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107?a)18b)17c)16d)19Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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