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Surekha took a loan from Yusuf at the rate of 6% per annum SI. She returned 27000 to Yusuf after 2 years. Find the amount she took as loan.?
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Surekha took a loan from Yusuf at the rate of 6% per annum SI. She ret...
Surekha took a loan from Yusuf at the rate of 6% per annum simple interest (SI). To find the original loan amount, we can use the formula:
Loan Amount = Returned Amount / (1 + (Interest Rate * Time in Years))
In this case, Surekha returned 27000 to Yusuf after 2 years, the interest rate is 6% per annum and the time is 2 years.
So, the loan amount = 27000 / (1 + (6/100 * 2))
= 27000 / (1 + 0.12)
= 27000 / 1.12
= 24107.14
So the amount Surekha took as loan is 24107.14
This question is part of UPSC exam. View all Class 8 courses
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Surekha took a loan from Yusuf at the rate of 6% per annum SI. She ret...
Solution:

Given:
Rate of interest (R) = 6% per annum
Time (T) = 2 years
Amount returned (A) = Rs. 27000

To find:
The amount taken as a loan (P)

Step 1: Use the formula for Simple Interest (SI) to find the amount taken as a loan.

The formula for Simple Interest is:
SI = (P * R * T) / 100

Substituting the given values in the formula:
27000 = (P * 6 * 2) / 100

Simplifying the equation:
27000 = (12P) / 100
27000 * 100 = 12P
2700000 = 12P

Step 2: Solve the equation to find the amount taken as a loan.

Divide both sides of the equation by 12:
2700000 / 12 = P
225000 = P

Therefore, the amount taken as a loan by Surekha is Rs. 225000.

Step 3: Write the final answer.

Surekha took a loan of Rs. 225000.
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Surekha took a loan from Yusuf at the rate of 6% per annum SI. She returned 27000 to Yusuf after 2 years. Find the amount she took as loan.?
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Surekha took a loan from Yusuf at the rate of 6% per annum SI. She returned 27000 to Yusuf after 2 years. Find the amount she took as loan.? 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 Surekha took a loan from Yusuf at the rate of 6% per annum SI. She returned 27000 to Yusuf after 2 years. Find the amount she took as loan.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Surekha took a loan from Yusuf at the rate of 6% per annum SI. She returned 27000 to Yusuf after 2 years. Find the amount she took as loan.?.
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