Math, asked by minasaudpp, 10 months ago

If the income of A is double of B and three times of C and their total income is 11000,find income of each.

Answers

Answered by ravi8682
5

Answer:

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Answered by vinod04jangid
1

Answer:

  • The income of A is Rs. 6000.
  • The income of B is Rs. 3000.
  • The income of C is Rs. 2000.

Step-by-step explanation:

Given,

  • The income of "A" is double that of "B".
  • The income of "A" is also thrice that of "C".
  • The total income of A, B and C is Rs. 11000.

To Find: The individual incomes of A, B and C.

Explanation:

  • Let us assume that the income of A is "x".
  • As per the question mentioned condition,  income of A is double that of B, i.e., Income of B is half that of A,

        or, Income of B is (x/2).

  • Similarly conditioned in the question statement is that, the income of A is also thrice that of C, i.e.,  Income of C is one-third of A's income,

        or, Income of C is (x/3)

  • Now, we will be able to form a linear equation with one variable of "x" based on the condition of total income of A, B and C mentioned in the question-statement, and solving for x, we will obtain our desired answers.

       (x+\frac{x}{2} +\frac{x}{3} )=11000\\or, \frac{6x+3x+2x}{6}=11000\\ or, \frac{11x}{6}=11000\\ or, x=\frac{11000*6}{11}\\ or, x=(1000*6)\\or, x = 6000

       That is, the income of A is Rs. 6000.

  • The income of B is (x/2) = \frac{x}{2} =\frac{6000}{2}=3000\\
  • And, the income of C is (x/3) = \frac{x}{3} =\frac{6000}{3}=2000\\

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If 30% of the income of A is equal to 40% of the income of B and 50% of the income of Bis equal to 70% of the income of C and total combined income is Rs.19200, then what is the income of C?​

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