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In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 : 1. If there are Rs. 60 in all, how many 5ps coins are there?
  • a)
    100
  • b)
    200
  • c)
    300
  • d)
    400
  • e)
    500
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 :...
60 Rupees = 60 × 100 = 6000 paise
⇒ 5 × 3x + 10 × 2x + 25 × 1x = 6000
⇒ 15x + 20x + 25x = 6000
⇒ 60x = 6000
⇒ x = 100
∴ Number of 5 paise coins = 3x = 3 × 100 = 300
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Most Upvoted Answer
In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 :...
Understanding the Problem
In this problem, we have coins of three different denominations: 5ps, 10ps, and 25ps, which are in a ratio of 3:2:1. The total value of all coins is Rs. 60.
Defining the Ratio
Let the number of 5ps coins be 3x, 10ps coins be 2x, and 25ps coins be x.
Calculating Total Value
The value of the coins can be expressed as:
- Value from 5ps coins: 3x * 5 = 15x ps
- Value from 10ps coins: 2x * 10 = 20x ps
- Value from 25ps coins: x * 25 = 25x ps
Now, converting Rs. 60 into paise (1 Rs = 100 ps):
- Total value = 60 * 100 = 6000 ps
Adding the values from all coins:
15x + 20x + 25x = 6000 ps
Solving for x
Combine the terms:
- 60x = 6000 ps
Now, divide both sides by 60 to find x:
- x = 100
Finding the Number of 5ps Coins
Now that we know x, we can find the number of 5ps coins:
- Number of 5ps coins = 3x = 3 * 100 = 300
Conclusion
Thus, the number of 5ps coins in the bag is 300.
The correct answer is option 'C'.
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Community Answer
In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 :...
60 Rupees = 60 × 100 = 6000 paise
⇒ 5 × 3x + 10 × 2x + 25 × 1x = 6000
⇒ 15x + 20x + 25x = 6000
⇒ 60x = 6000
⇒ x = 100
∴ Number of 5 paise coins = 3x = 3 × 100 = 300
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In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 : 1. If there are Rs. 60 in all, how many 5ps coins are there?a)100b)200c)300d)400e)500Correct answer is option 'C'. 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 In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 : 1. If there are Rs. 60 in all, how many 5ps coins are there?a)100b)200c)300d)400e)500Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a bag, there are coins of 5ps, 10ps, and 25ps in a ratio of 3 : 2 : 1. If there are Rs. 60 in all, how many 5ps coins are there?a)100b)200c)300d)400e)500Correct answer is option 'C'. Can you explain this answer?.
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