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A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.
- a)Rs.3200
- b)Rs.2800
- c)Rs.3150
- d)Rs.3000
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A invested Rs.x in SI at 30% rate of interest per annum for 6 years a...
Given:
A invested Rs.x in Simple Interest (SI) at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600.
A invested the total amount obtained in SI in Compound Interest (CI) at 25% rate of interest per annum for 2 years.
To find:
The compound interest obtained by A.
Solution:
Let's solve the problem step by step.
1. Calculation of Simple Interest:
The simple interest formula is given by:
Simple Interest (SI) = (Principal × Rate × Time) / 100
Given that the principal amount (P) is Rs.x, the rate of interest (R) is 30%, and the time period (T) is 6 years.
So, using the formula, we have:
3600 = (x × 30 × 6) / 100
Simplifying the equation, we get:
3600 = 180x / 100
3600 * 100 = 180x
360000 = 180x
x = 360000 / 180
x = 2000
Therefore, the principal amount (P) is Rs.2000.
2. Calculation of Compound Interest:
The compound interest formula is given by:
Compound Interest (CI) = P × (1 + R/100)^T - P
Given that the principal amount (P) is Rs.2000, the rate of interest (R) is 25%, and the time period (T) is 2 years.
So, using the formula, we have:
CI = 2000 × (1 + 25/100)^2 - 2000
Simplifying the equation, we get:
CI = 2000 × (1 + 0.25)^2 - 2000
CI = 2000 × (1.25)^2 - 2000
CI = 2000 × 1.5625 - 2000
CI = 3125 - 2000
CI = 1125
Therefore, the compound interest obtained by A is Rs.1125.
Conclusion:
The compound interest obtained by A is Rs.1125, which is option 'C'.
A invested Rs.x in Simple Interest (SI) at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600.
A invested the total amount obtained in SI in Compound Interest (CI) at 25% rate of interest per annum for 2 years.
To find:
The compound interest obtained by A.
Solution:
Let's solve the problem step by step.
1. Calculation of Simple Interest:
The simple interest formula is given by:
Simple Interest (SI) = (Principal × Rate × Time) / 100
Given that the principal amount (P) is Rs.x, the rate of interest (R) is 30%, and the time period (T) is 6 years.
So, using the formula, we have:
3600 = (x × 30 × 6) / 100
Simplifying the equation, we get:
3600 = 180x / 100
3600 * 100 = 180x
360000 = 180x
x = 360000 / 180
x = 2000
Therefore, the principal amount (P) is Rs.2000.
2. Calculation of Compound Interest:
The compound interest formula is given by:
Compound Interest (CI) = P × (1 + R/100)^T - P
Given that the principal amount (P) is Rs.2000, the rate of interest (R) is 25%, and the time period (T) is 2 years.
So, using the formula, we have:
CI = 2000 × (1 + 25/100)^2 - 2000
Simplifying the equation, we get:
CI = 2000 × (1 + 0.25)^2 - 2000
CI = 2000 × (1.25)^2 - 2000
CI = 2000 × 1.5625 - 2000
CI = 3125 - 2000
CI = 1125
Therefore, the compound interest obtained by A is Rs.1125.
Conclusion:
The compound interest obtained by A is Rs.1125, which is option 'C'.
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Community Answer
A invested Rs.x in SI at 30% rate of interest per annum for 6 years a...
X * 30 * 6/100 = 3600
x = Rs.2000
Total amount obtained by A = 2000 + 3600 = Rs.5600
Compound interest obtained by A = 5600 * (1 + 25/100)2 – 5600 = 5600 * (125/100)2 – 5600 = 5600 * 25/16 – 5600 = 8750 – 5600 = Rs.3150
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A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A invested Rs.x in SI at 30% rate of interest per annum for 6 years and obtained an interest of Rs.3600. A invested the total amount obtained in SI in CI at 25% rate of interest per annum for 2 years. Find the compound interest obtained by A.a)Rs.3200b)Rs.2800c)Rs.3150d)Rs.3000e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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