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A man deposited his savings in 3 different schemes X, Y and Z and they offer SI at 10% per annum, SI at 6% per half year and CI at 10% per annum respectively. At the end of two years, total interest obtained by man from all the three schemes is Rs. 2580. Find initially total amount deposited by man, if amount invested in scheme Z is twice of each of scheme X and scheme Y and amount in both X and Y are same (in Rs.)?
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A man deposited his savings in 3 different schemes X, Y and Z and they...
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A man deposited his savings in 3 different schemes X, Y and Z and they...
Given data:
- Scheme X offers Simple Interest (SI) at 10% per annum
- Scheme Y offers Simple Interest (SI) at 6% per half year
- Scheme Z offers Compound Interest (CI) at 10% per annum
- Total interest obtained after 2 years from all three schemes = Rs. 2580
- Amount invested in scheme Z is twice each of scheme X and scheme Y
- Amount in both X and Y are the same

Let's assume:
Let the amount invested in schemes X and Y be Rs. A each.
Amount invested in scheme Z = 2A

Calculating interest:
- For Scheme X: SI = (A * 10 * 2) / 100 = 0.2A
- For Scheme Y: SI = (A * 6 * 2) / 100 = 0.12A
- For Scheme Z: CI = 2A * (1 + 10/100)^2 - 2A = 0.21A
Total interest obtained = 0.2A + 0.12A + 0.21A = 0.53A
Given that the total interest obtained is Rs. 2580
0.53A = 2580
A = 2580 / 0.53 = Rs. 4871.70

Initial total amount deposited by the man:
Amount invested in X and Y = 2A = 2 * 4871.70 = Rs. 9743.40
Amount invested in Z = 2A = 2 * 4871.70 = Rs. 9743.40
Total amount deposited = 9743.40 + 9743.40 = Rs. 19486.80
Therefore, the initial total amount deposited by the man was Rs. 19486.80.
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A man deposited his savings in 3 different schemes X, Y and Z and they offer SI at 10% per annum, SI at 6% per half year and CI at 10% per annum respectively. At the end of two years, total interest obtained by man from all the three schemes is Rs. 2580. Find initially total amount deposited by man, if amount invested in scheme Z is twice of each of scheme X and scheme Y and amount in both X and Y are same (in Rs.)?
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A man deposited his savings in 3 different schemes X, Y and Z and they offer SI at 10% per annum, SI at 6% per half year and CI at 10% per annum respectively. At the end of two years, total interest obtained by man from all the three schemes is Rs. 2580. Find initially total amount deposited by man, if amount invested in scheme Z is twice of each of scheme X and scheme Y and amount in both X and Y are same (in Rs.)? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about A man deposited his savings in 3 different schemes X, Y and Z and they offer SI at 10% per annum, SI at 6% per half year and CI at 10% per annum respectively. At the end of two years, total interest obtained by man from all the three schemes is Rs. 2580. Find initially total amount deposited by man, if amount invested in scheme Z is twice of each of scheme X and scheme Y and amount in both X and Y are same (in Rs.)? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man deposited his savings in 3 different schemes X, Y and Z and they offer SI at 10% per annum, SI at 6% per half year and CI at 10% per annum respectively. At the end of two years, total interest obtained by man from all the three schemes is Rs. 2580. Find initially total amount deposited by man, if amount invested in scheme Z is twice of each of scheme X and scheme Y and amount in both X and Y are same (in Rs.)?.
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