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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)80
- c)100
- d)120
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in...
Given:
Total coin = 220
Total money = Rs. 160
There are thrice as many 1 Rupee coins as there are 25 paise coins.
Concept used:
Ratio method is used.
Calculation:
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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Community Answer
A man has 25 paise, 50 paise and 1 Rupee coins. There are 220 coins in...
Given:
Total number of coins = 220
Total amount = 160
Let the number of 25 paise coins be x
Let the number of 50 paise coins be y
Let the number of 1 Rupee coins be z
Equations:
1. x + y + z = 220 (Total number of coins)
2. 0.25x + 0.5y + z = 160 (Total amount)
Given that there are thrice as many 1 Rupee coins as there are 25 paise coins:
3. z = 3x
Substituting equation 3 in equation 1, we get:
x + y + 3x = 220
4x + y = 220
Substituting equation 3 and equation 2 in equation 1, we get:
0.25x + 0.5y + 3x = 160
3.25x + 0.5y = 160
Solving equations 4 and 5 simultaneously, we get:
x = 20
y = 60
z = 60
Therefore, the number of 50 paise coins is 60. Hence, the correct answer is option A.
Total number of coins = 220
Total amount = 160
Let the number of 25 paise coins be x
Let the number of 50 paise coins be y
Let the number of 1 Rupee coins be z
Equations:
1. x + y + z = 220 (Total number of coins)
2. 0.25x + 0.5y + z = 160 (Total amount)
Given that there are thrice as many 1 Rupee coins as there are 25 paise coins:
3. z = 3x
Substituting equation 3 in equation 1, we get:
x + y + 3x = 220
4x + y = 220
Substituting equation 3 and equation 2 in equation 1, we get:
0.25x + 0.5y + 3x = 160
3.25x + 0.5y = 160
Solving equations 4 and 5 simultaneously, we get:
x = 20
y = 60
z = 60
Therefore, the number of 50 paise coins is 60. Hence, the correct answer is option A.
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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)80c)100d)120Correct answer is option 'A'. Can you explain this answer?
Question Description
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)80c)100d)120Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant 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)80c)100d)120Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 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)80c)100d)120Correct answer is option 'A'. Can you explain this answer?.
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