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Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?
- a)240
- b)120
- c)210
- d)180
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Divya has 3 types of coins having denomination of 20p, 10p and 5p. Th...
Since the ratio between the numbers of coins of 20p, 10p and 5p is 1: 2 : 3
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So let us assume the number of 20p coins = a
Then the number of 10p coins is 2a and the number of 5p coins is 3a.
Total worth of 20p coins = number of coins X worth of each coin = a X (1/5) = Rs (a/5)
Total worth of 10p coins = 2a X (1/10) = Rs (a/5)
Similarly total worth of 5p coins = 3a X (1/20) = Rs (3a/20)
Since total money with the Divya is Rs 44 hence
a/5 + a/5 + 3a/20 = 44 => 2a/5 + 3a/20 = 44
=> 8a/20 + 3a/20 = 44 => 11a/20 = 44 => a = 80
So the number of 5p coins = 3a = 80 x 3 = 240
Most Upvoted Answer
Divya has 3 types of coins having denomination of 20p, 10p and 5p. Th...
Given information:
- Denominations of coins: 20p, 10p, 5p
- Numbers of coins: in the ratio of 1:2:3
- Total money: Rs. 44
Let's solve the problem step by step:
Step 1: Determine the ratio of the number of coins
Let's assume the ratio of the number of coins as x:2x:3x, where x is a common multiple.
Step 2: Calculate the value of each type of coin
- The value of 20p coins = 20p * x
- The value of 10p coins = 10p * 2x
- The value of 5p coins = 5p * 3x
Step 3: Calculate the total value of all the coins
The total value of all the coins is given as Rs. 44, which can be expressed as:
20p * x + 10p * 2x + 5p * 3x = 44
Step 4: Simplify the equation and solve for x
20x + 20x + 15x = 44
55x = 44
x = 44/55
x = 0.8
Step 5: Calculate the number of 5p coins
Since the ratio of the number of 5p coins is 3x, we can substitute the value of x to find the number of 5p coins:
Number of 5p coins = 3 * 0.8 = 2.4
Step 6: Convert the number of 5p coins to a whole number
Since we cannot have a fraction of a coin, we need to round off the number of 5p coins to the nearest whole number:
Number of 5p coins = 2 (rounded off from 2.4)
Step 7: Convert the number of 5p coins into paise
1 Rupee = 100 paise, so 2 Rupees = 200 paise
Number of 5p coins = 2 * 100 = 200 paise
Therefore, the correct answer is option A) 240.
- Denominations of coins: 20p, 10p, 5p
- Numbers of coins: in the ratio of 1:2:3
- Total money: Rs. 44
Let's solve the problem step by step:
Step 1: Determine the ratio of the number of coins
Let's assume the ratio of the number of coins as x:2x:3x, where x is a common multiple.
Step 2: Calculate the value of each type of coin
- The value of 20p coins = 20p * x
- The value of 10p coins = 10p * 2x
- The value of 5p coins = 5p * 3x
Step 3: Calculate the total value of all the coins
The total value of all the coins is given as Rs. 44, which can be expressed as:
20p * x + 10p * 2x + 5p * 3x = 44
Step 4: Simplify the equation and solve for x
20x + 20x + 15x = 44
55x = 44
x = 44/55
x = 0.8
Step 5: Calculate the number of 5p coins
Since the ratio of the number of 5p coins is 3x, we can substitute the value of x to find the number of 5p coins:
Number of 5p coins = 3 * 0.8 = 2.4
Step 6: Convert the number of 5p coins to a whole number
Since we cannot have a fraction of a coin, we need to round off the number of 5p coins to the nearest whole number:
Number of 5p coins = 2 (rounded off from 2.4)
Step 7: Convert the number of 5p coins into paise
1 Rupee = 100 paise, so 2 Rupees = 200 paise
Number of 5p coins = 2 * 100 = 200 paise
Therefore, the correct answer is option A) 240.
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Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer?
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Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer?.
Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer?.
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Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?a)240b)120c)210d)180Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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