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A sum of Rs 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the former. At the end of the year, Rs 33.50 is earned as interest from both the loans. What was the original rate of interest?
  • a)
    3.6%
  • b)
    4.5%
  • c)
    5%
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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Let's break down the given information step by step:

Step 1: Initial Loan
- A sum of Rs 725 is lent at a certain rate of interest for the entire year.

Step 2: Second Loan
- After 8 months (i.e., 2/3 of the year), an additional sum of Rs 362.50 is lent.
- This second loan is given at a rate that is twice the rate of the initial loan.

Step 3: Total Interest Earned
- At the end of the year, a total of Rs 33.50 is earned as interest from both the loans.

Now, let's solve the problem:

Let's assume the rate of interest for the initial loan is x%.
Since the second loan is given at twice the rate, the rate for the second loan will be 2x%.

Step 1: Calculation of Interest from the Initial Loan
- The initial loan of Rs 725 is given for the entire year.
- So, the interest earned from the initial loan will be (725 * x * 1)/100.

Step 2: Calculation of Interest from the Second Loan
- The second loan of Rs 362.50 is given for the remaining 4 months (i.e., 1/3 of the year).
- So, the interest earned from the second loan will be (362.50 * 2x * 1)/100.

Step 3: Calculation of Total Interest Earned
- The total interest earned from both loans is given as Rs 33.50.
- Therefore, we can write the equation as:
(725 * x * 1)/100 + (362.50 * 2x * 1)/100 = 33.50

Simplifying the equation:
(725x + 725x)/100 = 33.50
(1450x)/100 = 33.50
1450x = 3350
x = 3350/1450
x = 2.31

So, the original rate of interest is 2.31%.

Since none of the given options match the calculated rate, we can conclude that the correct option is None of these (D).
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A sum of Rs 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the former. At the end of the year, Rs 33.50 is earned as interest from both theloans. What was the original rate of interest?a)3.6%b)4.5%c)5%d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A sum of Rs 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the former. At the end of the year, Rs 33.50 is earned as interest from both theloans. What was the original rate of interest?a)3.6%b)4.5%c)5%d)None of theseCorrect answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A sum of Rs 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the former. At the end of the year, Rs 33.50 is earned as interest from both theloans. What was the original rate of interest?a)3.6%b)4.5%c)5%d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the former. At the end of the year, Rs 33.50 is earned as interest from both theloans. What was the original rate of interest?a)3.6%b)4.5%c)5%d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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