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A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.
- a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paise
- b)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paise
- c)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paise
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the pr...
Let the number of coins be x. 3x, 5x and 7x respectively as rupees, 50 paise, 25 paise and 10 paise. Since, Number of coins x Value of coin in rupee = Amount in rupees Now, value of 50 paise coin in rupee = 1/2 Value of 25 paise coin in rupee = 1/4 Value of 10 paise coin in rupee = 1/10
∴ 
∴ Number of rupee coins =5×1=5 Number of 50 paise coins =3x=3×5=15 Number of 25 paise coins =6x=5×5=25 Number of 10 paise coins =7x=7×5=35
∴ Number of rupee coins =5×1=5 Number of 50 paise coins =3x=3×5=15 Number of 25 paise coins =6x=5×5=25 Number of 10 paise coins =7x=7×5=35
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A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the pr...
Given coins ratio, 1 :3 : 5 : 7 = 1 : 1.5 : 1.25 : 0.7
so, 1x + 1.5x + 1.25x + 0.7x = 22.25
4 .45x = 22.25. x = 22.25/3.45 =5.
1 Rs coins = 1×5 = 5/1 = 5. 0.50 paise coins= 1.5×5 = 7.5/0.5 = 15. 0.25 Paise coins= 1.25×5 = 6.25/.25 = 25. 0.10 paise coins = 0.7×5 = 3.5/10 =35.
so, 1x + 1.5x + 1.25x + 0.7x = 22.25
4 .45x = 22.25. x = 22.25/3.45 =5.
1 Rs coins = 1×5 = 5/1 = 5. 0.50 paise coins= 1.5×5 = 7.5/0.5 = 15. 0.25 Paise coins= 1.25×5 = 6.25/.25 = 25. 0.10 paise coins = 0.7×5 = 3.5/10 =35.
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Community Answer
A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the pr...
To solve this problem, we need to find the number of coins of each kind given the total amount and the proportion of the coins.
Let's assume that the proportion of the coins is 1x : 3x : 5x : 7x, where x is a common factor.
Step 1: Set up the equation
We know that the total amount is Rs. 22.25. Let's convert the coins into rupees:
1 rupee = 100 paise
50 paise = 0.50 rupees
25 paise = 0.25 rupees
10 paise = 0.10 rupees
So, the equation becomes:
1x + 3x(0.50) + 5x(0.25) + 7x(0.10) = 22.25
Step 2: Simplify the equation
1x + 1.5x + 1.25x + 0.70x = 22.25
4.45x = 22.25
x = 22.25 / 4.45
x = 5
Step 3: Calculate the number of coins
Now that we have the value of x, we can calculate the number of coins for each kind:
1 rupee coins = 1x = 1 * 5 = 5 coins
50 paise coins = 3x = 3 * 5 = 15 coins
25 paise coins = 5x = 5 * 5 = 25 coins
10 paise coins = 7x = 7 * 5 = 35 coins
So, the number of coins of each kind is:
5 coins of 1 rupee
15 coins of 50 paise
25 coins of 25 paise
35 coins of 10 paise
Therefore, the correct answer is option A) 5 coins of 1 rupee, 15 coins of 50 paise, 25 coins of 25 paise, and 35 coins of 10 paise.
Let's assume that the proportion of the coins is 1x : 3x : 5x : 7x, where x is a common factor.
Step 1: Set up the equation
We know that the total amount is Rs. 22.25. Let's convert the coins into rupees:
1 rupee = 100 paise
50 paise = 0.50 rupees
25 paise = 0.25 rupees
10 paise = 0.10 rupees
So, the equation becomes:
1x + 3x(0.50) + 5x(0.25) + 7x(0.10) = 22.25
Step 2: Simplify the equation
1x + 1.5x + 1.25x + 0.70x = 22.25
4.45x = 22.25
x = 22.25 / 4.45
x = 5
Step 3: Calculate the number of coins
Now that we have the value of x, we can calculate the number of coins for each kind:
1 rupee coins = 1x = 1 * 5 = 5 coins
50 paise coins = 3x = 3 * 5 = 15 coins
25 paise coins = 5x = 5 * 5 = 25 coins
10 paise coins = 7x = 7 * 5 = 35 coins
So, the number of coins of each kind is:
5 coins of 1 rupee
15 coins of 50 paise
25 coins of 25 paise
35 coins of 10 paise
Therefore, the correct answer is option A) 5 coins of 1 rupee, 15 coins of 50 paise, 25 coins of 25 paise, and 35 coins of 10 paise.
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A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
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A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A bag contains rupees, 50 paise, 25 paise and 10 paise coins in the proportion 1 : 3 : 5 : 7. If the total amount is ? 22.25. Find the number of coins of each kind.a)5, Rs.1; 15, 50 paise; 25, 25 paise and 35, 10 paiseb)5, Rs.1; 25, 50 paise; 35, 25 paise and 15, 10 paisec)5, Rs.1; 35, 50 paise; 15, 25 paise and 25, 10 paised)None of the aboveCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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