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A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is true
- a)X = 840; Y = 260
- b)X = 966; Y = 345
- c)X = 840; Y = 280
- d)X = 740; Y = 260
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A bag contains 25p coins, 50p coins and 1 rupee coins whose values are...
Answer – C.X = 840; Y = 280 Explanation : Value is given in the ratio 8:4:2. (8x/0.25) + (4x/0.5) + (2x/1) = 840.
X = 20. Total amount, Y = 14*20 = 280
X = 20. Total amount, Y = 14*20 = 280
Most Upvoted Answer
A bag contains 25p coins, 50p coins and 1 rupee coins whose values are...
Given information:
- The ratio of values of 25p, 50p and 1 rupee coins is 8:4:2.
- Let the common ratio of values be x.
- So, the values of 25p, 50p and 1 rupee coins are 8x, 4x and 2x respectively.
- Let the number of coins of these denominations be a, b and c respectively.
- Total value of coins = 25a + 50b + 100c (since 1 rupee = 100 paise)
- Total value of coins = 8x*a + 4x*b + 2x*c
- Total value of coins = 2x*(4a + 2b + c)
To find:
- If X = Total value of coins and Y = Total amount in rupees, then which of the following is true:
a) X = 840; Y = 260
b) X = 966; Y = 345
c) X = 840; Y = 280
d) X = 740; Y = 260
e) None of these
Solution:
- Let's assume that the number of coins of each denomination is a multiple of 2, so that their ratio is maintained.
- Let the values of 25p, 50p and 1 rupee coins be 8x, 4x and 2x respectively, where x = 5 (since 8+4+2=14 and 14/2 = 7, which is a convenient multiple of 2).
- So, the values of 25p, 50p and 1 rupee coins are 40p, 20p and 10p respectively.
- Let the number of coins of these denominations be 16a, 8b and 4c respectively, where a, b and c are positive integers.
- Total value of coins = 40*16a + 20*8b + 10*4c = 160a + 160b + 40c
- Total amount in rupees = (160a + 160b + 40c)/100 = 1.6a + 1.6b + 0.4c
Now, we need to check which option satisfies the above values:
a) X = 840; Y = 260
- X = 840 = 160a + 160b + 40c
- Y = 260 = 1.6a + 1.6b + 0.4c
- On solving the above equations, we get a = 2, b = 2, c = 16
- So, the number of coins of each denomination is 16a = 32, 8b = 16 and 4c = 64
- The values of these coins are 40p, 20p and 10p respectively, which satisfies the given ratio.
b) X = 966; Y = 345
- X = 966 is not a multiple of 160, so this option is not possible.
c) X = 840; Y = 280
- X = 840 = 160a + 160b + 40c
- Y = 280 =
- The ratio of values of 25p, 50p and 1 rupee coins is 8:4:2.
- Let the common ratio of values be x.
- So, the values of 25p, 50p and 1 rupee coins are 8x, 4x and 2x respectively.
- Let the number of coins of these denominations be a, b and c respectively.
- Total value of coins = 25a + 50b + 100c (since 1 rupee = 100 paise)
- Total value of coins = 8x*a + 4x*b + 2x*c
- Total value of coins = 2x*(4a + 2b + c)
To find:
- If X = Total value of coins and Y = Total amount in rupees, then which of the following is true:
a) X = 840; Y = 260
b) X = 966; Y = 345
c) X = 840; Y = 280
d) X = 740; Y = 260
e) None of these
Solution:
- Let's assume that the number of coins of each denomination is a multiple of 2, so that their ratio is maintained.
- Let the values of 25p, 50p and 1 rupee coins be 8x, 4x and 2x respectively, where x = 5 (since 8+4+2=14 and 14/2 = 7, which is a convenient multiple of 2).
- So, the values of 25p, 50p and 1 rupee coins are 40p, 20p and 10p respectively.
- Let the number of coins of these denominations be 16a, 8b and 4c respectively, where a, b and c are positive integers.
- Total value of coins = 40*16a + 20*8b + 10*4c = 160a + 160b + 40c
- Total amount in rupees = (160a + 160b + 40c)/100 = 1.6a + 1.6b + 0.4c
Now, we need to check which option satisfies the above values:
a) X = 840; Y = 260
- X = 840 = 160a + 160b + 40c
- Y = 260 = 1.6a + 1.6b + 0.4c
- On solving the above equations, we get a = 2, b = 2, c = 16
- So, the number of coins of each denomination is 16a = 32, 8b = 16 and 4c = 64
- The values of these coins are 40p, 20p and 10p respectively, which satisfies the given ratio.
b) X = 966; Y = 345
- X = 966 is not a multiple of 160, so this option is not possible.
c) X = 840; Y = 280
- X = 840 = 160a + 160b + 40c
- Y = 280 =
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A bag contains 25p coins, 50p coins and 1 rupee coins whose values are...
Answer – C.X = 840; Y = 280 Explanation : Value is given in the ratio 8:4:2. (8x/0.25) + (4x/0.5) + (2x/1) = 840.
X = 20. Total amount, Y = 14*20 = 280
X = 20. Total amount, Y = 14*20 = 280
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A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. 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 bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. 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 bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. 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 bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. 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 bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the following is truea)X = 840; Y = 260b)X = 966; Y = 345c)X = 840; Y = 280d)X = 740; Y = 260e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
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