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The total income of A,Band C is 76000 rupees. They save 30%,25% and 20% from their income respectovely. If their savings ratio is 4:5:6 the what is the difference between the total income of B and C?
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The total income of A,Band C is 76000 rupees. They save 30%,25% and 20...
Problem: The total income of A, B, and C is 76000 rupees. They save 30%, 25%, and 20% from their income respectively. If their savings ratio is 4:5:6, what is the difference between the total income of B and C?

Solution:

Step 1: Calculate the savings of A, B, and C

  • Savings of A = 30/100 * Total Income

  • Savings of B = 25/100 * Total Income

  • Savings of C = 20/100 * Total Income



Step 2: Calculate the total savings of A, B, and C

  • Total Savings = Savings of A + Savings of B + Savings of C

  • Total Savings = (30/100 + 25/100 + 20/100) * Total Income

  • Total Savings = 75/100 * Total Income



Step 3: Calculate the savings ratio of A, B, and C

  • Ratio of A = Savings of A / Total Savings = 4x / 15x

  • Ratio of B = Savings of B / Total Savings = 5x / 15x

  • Ratio of C = Savings of C / Total Savings = 6x / 15x



Step 4: Calculate the savings of A, B, and C using their savings ratio

  • Savings of A = Ratio of A * Total Savings = (4x / 15x) * (75/100 * Total Income) = 20/100 * Total Income

  • Savings of B = Ratio of B * Total Savings = (5x / 15x) * (75/100 * Total Income) = 25/100 * Total Income

  • Savings of C = Ratio of C * Total Savings = (6x / 15x) * (75/100 * Total Income) = 30/100 * Total Income



Step 5: Calculate the income of A, B, and C

  • Income of A = Total Income - Savings of A = 76000 - 20/100 * 76000 = 60800 rupees

  • Income of B = Total Income - Savings of B = 76000 - 25/100 * 76000 = 57000 rupees

  • Income of C = Total Income - Savings of C = 76000 - 30/100 * 76000 = 53200 rupees



Step 6: Calculate the difference between the total income of B and C

  • Difference = Income of B - Income of C

  • Difference = 57000 - 53200 = 3800 rupees



Conclusion: The difference between the total income of B and C is 3800 rupees.
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The total income of A,Band C is 76000 rupees. They save 30%,25% and 20% from their income respectovely. If their savings ratio is 4:5:6 the what is the difference between the total income of B and C?
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