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A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?
- a)5 : 12
- b)25 : 7
- c)13 : 25
- d)7 : 25
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% pe...
According to question,
36Z = 25Z + 6600
11Z = 6600
Z = 600
Amount invested by shiv = 2.5 x 600 = 1500
Amount invested by Anil = 1.5 x 600 = 900
= 189/675
= 7:25
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A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% pe...
To find the ratio of the interest earned by Anil to that of Shiv, we need to calculate the interest earned by each of them separately.
For Shiv:
Shiv invested Rs 2.5Z at a simple interest rate of 15% per annum for three years. The formula for calculating simple interest is:
Simple Interest = (Principal * Rate * Time) / 100
Substituting the given values, we have:
Interest earned by Shiv = (2.5Z * 15 * 3) / 100 = 11.25Z
For Anil:
Anil invested Rs 1.5Z at a compound interest rate of 10% per annum for two years. The formula for calculating compound interest is:
Compound Interest = Principal * (1 + Rate/100)^Time - Principal
Substituting the given values, we have:
Interest earned by Anil = 1.5Z * (1 + 10/100)^2 - 1.5Z = 1.5Z * (1.1)^2 - 1.5Z = 1.5Z * 1.21 - 1.5Z = 1.815Z - 1.5Z = 0.315Z
Ratio of interest earned by Anil to that of Shiv:
Ratio = Interest earned by Anil / Interest earned by Shiv
= 0.315Z / 11.25Z
= 0.315 / 11.25
= 7 / 25
Therefore, the ratio of the interest earned by Anil to that of Shiv is 7 : 25. Hence, option D is the correct answer.
For Shiv:
Shiv invested Rs 2.5Z at a simple interest rate of 15% per annum for three years. The formula for calculating simple interest is:
Simple Interest = (Principal * Rate * Time) / 100
Substituting the given values, we have:
Interest earned by Shiv = (2.5Z * 15 * 3) / 100 = 11.25Z
For Anil:
Anil invested Rs 1.5Z at a compound interest rate of 10% per annum for two years. The formula for calculating compound interest is:
Compound Interest = Principal * (1 + Rate/100)^Time - Principal
Substituting the given values, we have:
Interest earned by Anil = 1.5Z * (1 + 10/100)^2 - 1.5Z = 1.5Z * (1.1)^2 - 1.5Z = 1.5Z * 1.21 - 1.5Z = 1.815Z - 1.5Z = 0.315Z
Ratio of interest earned by Anil to that of Shiv:
Ratio = Interest earned by Anil / Interest earned by Shiv
= 0.315Z / 11.25Z
= 0.315 / 11.25
= 7 / 25
Therefore, the ratio of the interest earned by Anil to that of Shiv is 7 : 25. Hence, option D is the correct answer.
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A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. 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 sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. 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 sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. 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 sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. 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 sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of the interest got by Anil to that of Shiv?a)5 : 12b)25 : 7c)13 : 25d)7 : 25e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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