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A saving amount is (S(m)=200+50m) rupees. After how many months will the amount be (500) rupees?

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Answer and explanation

Correct answer: 6

To make the amount ₹500, put S(m)=500: 200+50m=500. Thus, 50m=300, so m=6. Therefore, the amount becomes ₹500 after 6 months. After 5 months, the amount is only ₹450, so it is a close but incorrect option. Exam tip: Set the given linear expression equal to the required amount and solve for m.

Related tags

Linear PolynomialsLinear GrowthSolving EquationsSavings ModelGrade 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

To make the amount ₹500, put S(m)=500: 200+50m=500. Thus, 50m=300, so m=6. Therefore, the amount becomes ₹500 after 6 months. After 5 months, the amount is only ₹450, so it is a close but incorrect option. Exam tip: Set the given linear expression equal to the required amount and solve for m.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.

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