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A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?
- a)60
- b)120
- c)40
- d)80
- e)70
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in...
Let the 25 paise coins be 'x'
So, one rupees coins = 3x
50 paise coins = 220 – x – (3x) = 220 – (4x)
According to the questions,
3x + [(220 – 4x)/2] + x/4 =160
⇒ (12x + 440 – 8x + x)/4 = 160
⇒ 5x + 440 = 640
⇒ 5x = 200
⇒ x = 40
So, 50 paise coins = 220 – (4x) = 220 – (4 × 40) = 60
∴ The number of 50 paise coin is 60.
Most Upvoted Answer
A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in...
Given Information:
- Total number of coins = 220
- Total amount = 160
- Number of 1 Rupee coins = 3 times the number of 25 paise coins
Let's solve step by step:
Step 1: Forming Equations
Let x be the number of 25 paise coins
Then, the number of 1 Rupee coins = 3x
And the number of 50 paise coins = 220 - x - 3x = 220 - 4x
Now, we can form the equation for the total amount:
0.25x + 0.50(220 - 4x) + 1(3x) = 160
Step 2: Solving the Equation
0.25x + 110 - 2x + 3x = 160
0.25x + x = 50
1.25x = 50
x = 40
Step 3: Finding the Number of 50 paise coins
Number of 50 paise coins = 220 - 4x = 220 - 4(40) = 220 - 160 = 60
Therefore, the number of 50 paise coins is 60, which corresponds to option A).
- Total number of coins = 220
- Total amount = 160
- Number of 1 Rupee coins = 3 times the number of 25 paise coins
Let's solve step by step:
Step 1: Forming Equations
Let x be the number of 25 paise coins
Then, the number of 1 Rupee coins = 3x
And the number of 50 paise coins = 220 - x - 3x = 220 - 4x
Now, we can form the equation for the total amount:
0.25x + 0.50(220 - 4x) + 1(3x) = 160
Step 2: Solving the Equation
0.25x + 110 - 2x + 3x = 160
0.25x + x = 50
1.25x = 50
x = 40
Step 3: Finding the Number of 50 paise coins
Number of 50 paise coins = 220 - 4x = 220 - 4(40) = 220 - 160 = 60
Therefore, the number of 50 paise coins is 60, which corresponds to option A).
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Community Answer
A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in...
Let the 25 paise coins be 'x'
So, one rupees coins = 3x
50 paise coins = 220 – x – (3x) = 220 – (4x)
According to the questions,
3x + [(220 – 4x)/2] + x/4 =160
⇒ (12x + 440 – 8x + x)/4 = 160
⇒ 5x + 440 = 640
⇒ 5x = 200
⇒ x = 40
So, 50 paise coins = 220 – (4x) = 220 – (4 × 40) = 60
∴ The number of 50 paise coin is 60.
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A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer?.
A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer?.
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A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in all and the total amount is 160. If there are thrice as many 1 Rupee coins as there are 25 paise coins, then what is the number of 50 paise coins?a)60b)120c)40d)80e)70Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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