GMAT Exam  >  GMAT Questions  >  Novak invested $5000 in scheme A for 4 years,... Start Learning for Free
Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?
  • a)
    415
  • b)
    563
  • c)
    588
  • d)
    628
  • e)
    735
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Novak invested $5000 in scheme A for 4 years, which gave a fixed rate ...
Given:
  • Scheme A
    • Principal invested = $5000
    • Time period = 4 years
    • Offered a fixed rate of return
  • Scheme B
    • Each year investment = Interest generated from scheme A in
    • pervious year
    • Rate of interest in 4 year = 5% p.a.
  • Total Interest generated
    • Year 1 = $500
    • Year 2 = $550
    • Year 3 = $710
To Find: Total interest earned in the 4 year from both the schemes?
Approach:
  1. For finding the total interest earned in the 4 year, we need to find the interest earned from both the schemes.
  2. For finding the interest earned, we need to find the principal and the rate of interest of both the schemes.
  3. Scheme A
    • As the interest generated in every year is taken out, the principal in scheme A will not change. So, the principal in scheme A in 4 year = $5000
    • As scheme A offers, a fixed rate of return every year, if we can find the rate of interest in any one of the year, we will be able to find the rate of interest offered in the 4th year
    • In the 1st year, the total interested generated will be equal to the interest generated by scheme A. As we know the principal and the interest generated for the 1st year, we can find the rate of interest offered by scheme A
  4. Scheme B
    • As we are given the interest rate offered by scheme B in the 4th year, we only need to find the principal.
    • (The principal of scheme B in the 4th year) = (The interest generated by scheme A in the 1st + 2nd +3rd year) + (The interest generated in scheme B in the 2nd and the 3rd year)
    • As we already know the interest generated by scheme A in each year(which is constant), we can find the sum of the interest generated by scheme A in 3 years.
    • Also, since we are given the total interest generated by the schemes in the 1st , 2nd and the 3rd year, we can find the interest generated by scheme B in each year
 
Working out:
  1. Interest generated by scheme A = $500 each year
    • Since the interest generated in the 1 year will exclusively come from scheme A
  2. As scheme A generates a fixed interest every year, it will generate an interest of $500 every year
  3. Also, as $500 was received as interest in year 1, the rate of interest for 
 
4. Principal of scheme B will grow each year by the interest generated in scheme A as well as the interest generated in scheme B
  • Hence, the principal of scheme B at the start of the 4 year = 500 * 3 + 50 + 210 = 1760
5. So, the interest generated in 4 year:
a. Scheme A = $500
b. Scheme B = 5% of 1760 = $88
c. Total interest = 500 + 88 = $588
Answer : C
View all questions of this test
Explore Courses for GMAT exam

Top Courses for GMAT

Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer?
Question Description
Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer?.
Solutions for Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Novak invested $5000 in scheme A for 4 years, which gave a fixed rate of return each year. From the second year of this investment, the interest earned on scheme A in the previous year was reinvested annually in scheme B, whose annual rate of interest, compounded annually, varied with the performance of scheme B in that particular year. If the total interest earned from both the schemes in the first 3 years was $500, $550 and $710 respectively and scheme B offered an interest rate of 5 percent per annum in the fourth year, what was the total interest in dollars that was earned in the fourth year from both the schemes?a)415b)563c)588d)628e)735Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev