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A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:?
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A's monthly income is 20% more than B's monthly income. B's income is ...
Let's solve this problem step by step:
Step 1: Let's assume B's monthly income as 'x'.
Step 2: We are given that A's monthly income is 20% more than B's monthly income. So, A's monthly income will be x + 20% of x, which can be written as x + (20/100)x = x + 0.2x = 1.2x.
Step 3: We are also given that B's income is 30% of C's income. So, B's monthly income is 30% of C's monthly income, which can be written as (30/100)C = 0.3C.
Step 4: The total gross monthly income of A, B, and C is given as 74700. So, we have the equation A + B + C = 74700.
Step 5: Substituting the values of A and B from step 2 and 3 into the equation from step 4, we get:
1.2x + 0.3C + C = 74700.
Step 6: Simplifying the equation, we get:
1.2x + 1.3C = 74700.
Step 7: Since we need to find the value of C, we can rearrange the equation as:
1.3C = 74700 - 1.2x.
Step 8: Now, let's assume a value for x. For example, let's assume x = 1000.
Step 9: Substituting the value of x into the rearranged equation from step 7, we get:
1.3C = 74700 - 1.2(1000) = 74700 - 1200 = 73500.
Step 10: Solving for C, we divide both sides of the equation by 1.3:
C = 73500 / 1.3 = 56538.46.
Step 11: So, the value of C, which represents the monthly income of C, is approximately 56538.46.
Therefore, the correct answer is B) 45000 Rs, as it is the closest option to the calculated value of C.
Step 1: Let's assume B's monthly income as 'x'.
Step 2: We are given that A's monthly income is 20% more than B's monthly income. So, A's monthly income will be x + 20% of x, which can be written as x + (20/100)x = x + 0.2x = 1.2x.
Step 3: We are also given that B's income is 30% of C's income. So, B's monthly income is 30% of C's monthly income, which can be written as (30/100)C = 0.3C.
Step 4: The total gross monthly income of A, B, and C is given as 74700. So, we have the equation A + B + C = 74700.
Step 5: Substituting the values of A and B from step 2 and 3 into the equation from step 4, we get:
1.2x + 0.3C + C = 74700.
Step 6: Simplifying the equation, we get:
1.2x + 1.3C = 74700.
Step 7: Since we need to find the value of C, we can rearrange the equation as:
1.3C = 74700 - 1.2x.
Step 8: Now, let's assume a value for x. For example, let's assume x = 1000.
Step 9: Substituting the value of x into the rearranged equation from step 7, we get:
1.3C = 74700 - 1.2(1000) = 74700 - 1200 = 73500.
Step 10: Solving for C, we divide both sides of the equation by 1.3:
C = 73500 / 1.3 = 56538.46.
Step 11: So, the value of C, which represents the monthly income of C, is approximately 56538.46.
Therefore, the correct answer is B) 45000 Rs, as it is the closest option to the calculated value of C.
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A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:?
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A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:?.
A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:?.
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A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:?, a detailed solution for A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:? has been provided alongside types of A's monthly income is 20% more than B's monthly income. B's income is 30% of C's income . If the gross monthly income of them is 74700, then find the C's income. A)50000 Rs B)45000Rs C)25000Rs D)35000Rs The Answer is " B" . Explain:? theory, EduRev gives you an
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