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A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types?
Verified Answer
A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coin...
Let the ratio be x.
Number of coins be 2x, 3x, 4x respectively.
(2x * 50P) + (3x * 25P) + (4x * 20P) = 510.
(2x * 0.50) + (3x * 0.25) + (4x * 0.20) = 510.
2.55x = 510.
x = 200.
So,
Number of 50P coin = 2 * 200 = 400.
Number of 25P coin = 3 * 200 = 600.
Number of 20P coin = 4 * 200 = 800.
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coin...
Given:
- The bag contains ₹510.
- The bag contains 50 paise, 25 paise, and 20 paise coins.
- The ratio of the coins is 2:3:4.
To Find:
- The number of coins of each type.
Solution:
Step 1: Assign variables:
- Let's assume the number of 50 paise coins as 2x.
- Let's assume the number of 25 paise coins as 3x.
- Let's assume the number of 20 paise coins as 4x.
Step 2: Convert the ratio to the actual value:
- The value of 50 paise coins = 2x * 0.50 = 1x.
- The value of 25 paise coins = 3x * 0.25 = 0.75x.
- The value of 20 paise coins = 4x * 0.20 = 0.80x.
Step 3: Set up the equation:
- The total value of the coins = ₹510.
- Therefore, 1x + 0.75x + 0.80x = 510.
- Combining like terms, we get 2.55x = 510.
Step 4: Solve for x:
- Dividing both sides of the equation by 2.55, we get x = 200.
Step 5: Calculate the number of coins:
- The number of 50 paise coins = 2x = 2 * 200 = 400.
- The number of 25 paise coins = 3x = 3 * 200 = 600.
- The number of 20 paise coins = 4x = 4 * 200 = 800.
Answer:
- The number of 50 paise coins is 400.
- The number of 25 paise coins is 600.
- The number of 20 paise coins is 800.
- The bag contains ₹510.
- The bag contains 50 paise, 25 paise, and 20 paise coins.
- The ratio of the coins is 2:3:4.
To Find:
- The number of coins of each type.
Solution:
Step 1: Assign variables:
- Let's assume the number of 50 paise coins as 2x.
- Let's assume the number of 25 paise coins as 3x.
- Let's assume the number of 20 paise coins as 4x.
Step 2: Convert the ratio to the actual value:
- The value of 50 paise coins = 2x * 0.50 = 1x.
- The value of 25 paise coins = 3x * 0.25 = 0.75x.
- The value of 20 paise coins = 4x * 0.20 = 0.80x.
Step 3: Set up the equation:
- The total value of the coins = ₹510.
- Therefore, 1x + 0.75x + 0.80x = 510.
- Combining like terms, we get 2.55x = 510.
Step 4: Solve for x:
- Dividing both sides of the equation by 2.55, we get x = 200.
Step 5: Calculate the number of coins:
- The number of 50 paise coins = 2x = 2 * 200 = 400.
- The number of 25 paise coins = 3x = 3 * 200 = 600.
- The number of 20 paise coins = 4x = 4 * 200 = 800.
Answer:
- The number of 50 paise coins is 400.
- The number of 25 paise coins is 600.
- The number of 20 paise coins is 800.
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A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types?
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A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types?.
A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains ₹510 in the form of 50 paise,25 paise and 20 paise coins in the ratio 2:3:4. find the numbers of coins of each types?.
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