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Raju lent Rs. 400 to Ajay for 2 years, and Rs, 100 to Manoj for 4 years and received together from both Rs. 60 as interest. Find the rate of interest, simple interest being calculated.
- a)5%
- b)6%
- c)8%
- d)9%
Correct answer is option 'A'. Can you explain this answer?
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Raju lent Rs. 400 to Ajay for 2 years, and Rs, 100 to Manoj for 4 yea...
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Raju lent Rs. 400 to Ajay for 2 years, and Rs, 100 to Manoj for 4 yea...
Given:
Principal amount lent to Ajay = Rs. 400
Principal amount lent to Manoj = Rs. 100
Time period for which Ajay borrowed the money = 2 years
Time period for which Manoj borrowed the money = 4 years
Total interest received = Rs. 60
Let's assume the rate of interest to be 'r'.
To calculate the rate of interest, we can use the formula for simple interest:
Simple interest = (Principal × Rate × Time) / 100
Let's calculate the interest received from Ajay and Manoj separately.
Interest received from Ajay:
Principal amount (P) = Rs. 400
Time (T) = 2 years
Rate of interest (R) = r
Using the formula for simple interest, we can write:
Interest from Ajay = (400 × r × 2) / 100 = 8r
Interest received from Manoj:
Principal amount (P) = Rs. 100
Time (T) = 4 years
Rate of interest (R) = r
Using the formula for simple interest, we can write:
Interest from Manoj = (100 × r × 4) / 100 = 4r
Given that the total interest received from both Ajay and Manoj is Rs. 60, we can write the equation:
Interest from Ajay + Interest from Manoj = 60
8r + 4r = 60
12r = 60
r = 60 / 12
r = 5
Therefore, the rate of interest is 5%.
Hence, option A, i.e., 5% is the correct answer.
Principal amount lent to Ajay = Rs. 400
Principal amount lent to Manoj = Rs. 100
Time period for which Ajay borrowed the money = 2 years
Time period for which Manoj borrowed the money = 4 years
Total interest received = Rs. 60
Let's assume the rate of interest to be 'r'.
To calculate the rate of interest, we can use the formula for simple interest:
Simple interest = (Principal × Rate × Time) / 100
Let's calculate the interest received from Ajay and Manoj separately.
Interest received from Ajay:
Principal amount (P) = Rs. 400
Time (T) = 2 years
Rate of interest (R) = r
Using the formula for simple interest, we can write:
Interest from Ajay = (400 × r × 2) / 100 = 8r
Interest received from Manoj:
Principal amount (P) = Rs. 100
Time (T) = 4 years
Rate of interest (R) = r
Using the formula for simple interest, we can write:
Interest from Manoj = (100 × r × 4) / 100 = 4r
Given that the total interest received from both Ajay and Manoj is Rs. 60, we can write the equation:
Interest from Ajay + Interest from Manoj = 60
8r + 4r = 60
12r = 60
r = 60 / 12
r = 5
Therefore, the rate of interest is 5%.
Hence, option A, i.e., 5% is the correct answer.
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Raju lent Rs. 400 to Ajay for 2 years, and Rs, 100 to Manoj for 4 years and received together from both Rs. 60 as interest. Find the rate of interest, simple interest being calculated.a)5%b)6%c)8%d)9%Correct answer is option 'A'. Can you explain this answer?
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Raju lent Rs. 400 to Ajay for 2 years, and Rs, 100 to Manoj for 4 years and received together from both Rs. 60 as interest. Find the rate of interest, simple interest being calculated.a)5%b)6%c)8%d)9%Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Raju lent Rs. 400 to Ajay for 2 years, and Rs, 100 to Manoj for 4 years and received together from both Rs. 60 as interest. Find the rate of interest, simple interest being calculated.a)5%b)6%c)8%d)9%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Raju lent Rs. 400 to Ajay for 2 years, and Rs, 100 to Manoj for 4 years and received together from both Rs. 60 as interest. Find the rate of interest, simple interest being calculated.a)5%b)6%c)8%d)9%Correct answer is option 'A'. Can you explain this answer?.
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