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A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins?
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A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50...
Given Information:
- The ratio of 1 rupee and 50 paise coins is 3:4.
- The ratio of 50 paise and 10 paise coins is 2:5.
- Total money in the bag is Rs 30.
Let's solve the problem step by step:
Step 1: Understanding the Ratios
- Let's assume the ratio of 1 rupee coins to be 3x and the ratio of 50 paise coins to be 4x.
- Similarly, let's assume the ratio of 50 paise coins to be 2y and the ratio of 10 paise coins to be 5y.
Step 2: Calculating the Value of Coins
- The value of 1 rupee coins = 3x * Rs 1 = Rs 3x.
- The value of 50 paise coins = 4x * Rs 0.50 = Rs 2x.
- The value of 10 paise coins = 5y * Rs 0.10 = Rs 0.50y.
Step 3: Setting up the Equation
- According to the given information, the total money in the bag is Rs 30.
- So, we can write the equation as Rs 3x + Rs 2x + Rs 0.50y = Rs 30.
Step 4: Solving the Equation
- Simplifying the equation, we get 5x + 0.50y = 30.
- Multiplying the equation by 2 to eliminate the decimal, we get 10x + y = 60.
Step 5: Finding the Values of x and y
- To find the values of x and y, we can use trial and error or substitution.
- Let's assume x = 2 and y = 40.
Step 6: Calculating the Number of Coins
- Substituting the values of x and y in the ratios, we get:
- Number of 1 rupee coins = 3x = 3 * 2 = 6.
- Number of 50 paise coins = 4x = 4 * 2 = 8.
- Number of 10 paise coins = 5y = 5 * 40 = 200.
Step 7: Verifying the Solution
- The total value of 1 rupee coins = Rs 6 * Rs 1 = Rs 6.
- The total value of 50 paise coins = Rs 8 * Rs 0.50 = Rs 4.
- The total value of 10 paise coins = Rs 200 * Rs 0.10 = Rs 20.
- The total value of all coins = Rs 6 + Rs 4 + Rs 20 = Rs 30.
Conclusion:
- Therefore, there are 6 1 rupee coins, 8 50 paise coins, and 200 10 paise coins in the bag.
- The ratio of 1 rupee and 50 paise coins is 3:4.
- The ratio of 50 paise and 10 paise coins is 2:5.
- Total money in the bag is Rs 30.
Let's solve the problem step by step:
Step 1: Understanding the Ratios
- Let's assume the ratio of 1 rupee coins to be 3x and the ratio of 50 paise coins to be 4x.
- Similarly, let's assume the ratio of 50 paise coins to be 2y and the ratio of 10 paise coins to be 5y.
Step 2: Calculating the Value of Coins
- The value of 1 rupee coins = 3x * Rs 1 = Rs 3x.
- The value of 50 paise coins = 4x * Rs 0.50 = Rs 2x.
- The value of 10 paise coins = 5y * Rs 0.10 = Rs 0.50y.
Step 3: Setting up the Equation
- According to the given information, the total money in the bag is Rs 30.
- So, we can write the equation as Rs 3x + Rs 2x + Rs 0.50y = Rs 30.
Step 4: Solving the Equation
- Simplifying the equation, we get 5x + 0.50y = 30.
- Multiplying the equation by 2 to eliminate the decimal, we get 10x + y = 60.
Step 5: Finding the Values of x and y
- To find the values of x and y, we can use trial and error or substitution.
- Let's assume x = 2 and y = 40.
Step 6: Calculating the Number of Coins
- Substituting the values of x and y in the ratios, we get:
- Number of 1 rupee coins = 3x = 3 * 2 = 6.
- Number of 50 paise coins = 4x = 4 * 2 = 8.
- Number of 10 paise coins = 5y = 5 * 40 = 200.
Step 7: Verifying the Solution
- The total value of 1 rupee coins = Rs 6 * Rs 1 = Rs 6.
- The total value of 50 paise coins = Rs 8 * Rs 0.50 = Rs 4.
- The total value of 10 paise coins = Rs 200 * Rs 0.10 = Rs 20.
- The total value of all coins = Rs 6 + Rs 4 + Rs 20 = Rs 30.
Conclusion:
- Therefore, there are 6 1 rupee coins, 8 50 paise coins, and 200 10 paise coins in the bag.
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A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins?
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A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins?.
A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 1rupee ,50 p and 10p coins . The ratio of 1rupee and 50 p coins is 3:4 . The ratio of 50p and 10 p coins is 2:5 .if total money is rs 30 ,find the number of each type of coins?.
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