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A man in invested at 12%per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of ₹2600 . But ,if he had interchanged the amounts invested, he would have received ₹140 less . What amounts did he invest at the different rates? Pls give solution of this question?
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A man in invested at 12%per annum simple interest and another amount a...
Solution:

Let the amount invested at 12% per annum be x and the amount invested at 10% per annum be y.

Given, total interest received = ₹2600

∴ 0.12x + 0.1y = 2600 ...(1)

If the amounts are interchanged, then the total interest received is ₹140 less.

∴ 0.12y + 0.1x = 2600 - 140 = 2460 ...(2)

On solving equations (1) and (2), we get:

x = ₹12000 and y = ₹8000

Hence, the man invested ₹12000 at 12% per annum and ₹8000 at 10% per annum.

Explanation:

The problem is based on the concept of simple interest. Simple interest is calculated on the principal amount for a certain period of time at a certain rate of interest. The amount of interest earned is directly proportional to the principal, the rate of interest and the time period.

To solve the problem, we need to form two equations based on the given information. The first equation relates the total interest earned to the amount invested at each rate of interest. The second equation relates the interest earned when the amounts are interchanged.

On solving these equations, we get the values of x and y, which represent the amounts invested at 12% and 10% respectively.

Therefore, the man invested ₹12000 at 12% per annum and ₹8000 at 10% per annum to receive an annual interest of ₹2600.
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A man in invested at 12%per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of ₹2600 . But ,if he had interchanged the amounts invested, he would have received ₹140 less . What amounts did he invest at the different rates? Pls give solution of this question?
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A man in invested at 12%per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of ₹2600 . But ,if he had interchanged the amounts invested, he would have received ₹140 less . What amounts did he invest at the different rates? Pls give solution of this question? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man in invested at 12%per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of ₹2600 . But ,if he had interchanged the amounts invested, he would have received ₹140 less . What amounts did he invest at the different rates? Pls give solution of this question? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man in invested at 12%per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of ₹2600 . But ,if he had interchanged the amounts invested, he would have received ₹140 less . What amounts did he invest at the different rates? Pls give solution of this question?.
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