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A man has equal number of five, ten and twenty rupee notes amounting to Rs. 385. Find the total number of notes?
- a)13
- b)33
- c)15
- d)31
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A man has equal number of five, ten and twenty rupee notes amounting t...
Given:
Number of Five rupee note = Number of Ten rupee note = Number of Twenty rupee note
Calculation:
Let the equal number of five, ten and twenty rupee notes be x
⇒ 5x + 10x + 20x = 385
⇒ 35x = 385
⇒ x = 385/35 = 11
Total number of notes = 11 notes of Rs 5 + 11 notes of Rs 10 + 11 Rs of 20 = 33 notes
Check:
11 notes of Rs 5 + 11 notes of Rs 10 + 11 Rs of 20 = 11 × 5 + 11 × 10 + 11 × 20 = 55 + 110 + 220 = Rs. 385
Total number of notes = 11 × 3 = 33
Therefore the correct answer is 33.
Alternate Method:
Alternate Method:
Since the number of Rs 5, Rs 10, and Rs 20 notes are equal, the ratio of the number of notes is = 1 ∶ 1 ∶ 1
Or, we can say, the total number of notes must be multiple of 3.
Only two options are multiple of 3, others can be eliminated.
option 2 : 33. That means the number of notes of each dimension is 33/3 = 11.
5 × 11 + 11 × 10 + 11 × 20 = 385
∴ The total number of notes is 33.
Most Upvoted Answer
A man has equal number of five, ten and twenty rupee notes amounting t...
Given:
Number of Five rupee note = Number of Ten rupee note = Number of Twenty rupee note
Calculation:
Let the equal number of five, ten and twenty rupee notes be x
⇒ 5x + 10x + 20x = 385
⇒ 35x = 385
⇒ x = 385/35 = 11
Total number of notes = 11 notes of Rs 5 + 11 notes of Rs 10 + 11 Rs of 20 = 33 notes
Check:
11 notes of Rs 5 + 11 notes of Rs 10 + 11 Rs of 20 = 11 × 5 + 11 × 10 + 11 × 20 = 55 + 110 + 220 = Rs. 385
Total number of notes = 11 × 3 = 33
Therefore the correct answer is 33.
Alternate Method:
Alternate Method:
Since the number of Rs 5, Rs 10, and Rs 20 notes are equal, the ratio of the number of notes is = 1 ∶ 1 ∶ 1
Or, we can say, the total number of notes must be multiple of 3.
Only two options are multiple of 3, others can be eliminated.
option 2 : 33. That means the number of notes of each dimension is 33/3 = 11.
5 × 11 + 11 × 10 + 11 × 20 = 385
∴ The total number of notes is 33.
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Community Answer
A man has equal number of five, ten and twenty rupee notes amounting t...
Given:
- The man has an equal number of five, ten, and twenty rupee notes.
- The total amount of money in these notes is Rs. 385.
To Find:
- The total number of notes.
Solution:
Let's assume that the man has 'x' number of notes of each denomination (five, ten, and twenty rupee notes).
Step 1: Calculate the Total Amount:
The total amount of money can be calculated by multiplying the number of notes of each denomination by their respective values:
Total amount = (5 * x) + (10 * x) + (20 * x)
385 = 35x
Step 2: Solve for 'x':
Dividing both sides of the equation by 35:
x = 385/35
x = 11
Step 3: Calculate the Total Number of Notes:
Since 'x' represents the number of notes of each denomination, the total number of notes is obtained by multiplying 'x' by the number of denominations:
Total number of notes = 3 * x
Total number of notes = 3 * 11
Total number of notes = 33
Answer:
Therefore, the total number of notes the man has is 33, which corresponds to option 'B'.
- The man has an equal number of five, ten, and twenty rupee notes.
- The total amount of money in these notes is Rs. 385.
To Find:
- The total number of notes.
Solution:
Let's assume that the man has 'x' number of notes of each denomination (five, ten, and twenty rupee notes).
Step 1: Calculate the Total Amount:
The total amount of money can be calculated by multiplying the number of notes of each denomination by their respective values:
Total amount = (5 * x) + (10 * x) + (20 * x)
385 = 35x
Step 2: Solve for 'x':
Dividing both sides of the equation by 35:
x = 385/35
x = 11
Step 3: Calculate the Total Number of Notes:
Since 'x' represents the number of notes of each denomination, the total number of notes is obtained by multiplying 'x' by the number of denominations:
Total number of notes = 3 * x
Total number of notes = 3 * 11
Total number of notes = 33
Answer:
Therefore, the total number of notes the man has is 33, which corresponds to option 'B'.
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Question Description
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