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Deepak invested rs 4800 into two schemes a and b at same rate of interest. but compond interest obtained from scheme a in two years is rs 50 more then the simple interest obtained in scheme b i 4 years, if deepak invested total sum at simple intest for 8years at same rate of intrest then intrest obtined becomes equal to the investment find share in scheme in scheme b?
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Deepak invested rs 4800 into two schemes a and b at same rate of inter...
Solution:

Given,
Investment in scheme A = Investment in scheme B = Rs 4800
Compound Interest obtained from scheme A in 2 years = Simple Interest obtained from scheme B in 4 years + Rs 50

Let us assume the rate of interest for both schemes A and B to be ‘r’.

Compound Interest for Scheme A:
Principal = Rs 4800, Time = 2 years, Rate = r
CI = P(1 + r/100)^n - P
CI = 4800(1 + r/100)^2 - 4800

Simple Interest for Scheme B:
Principal = Rs 4800, Time = 4 years, Rate = r
SI = (P*r*t)/100
SI = (4800*r*4)/100

According to the question,
CI from scheme A - SI from scheme B = 50
Therefore,
4800(1 + r/100)^2 - 4800 - (4800*r*4)/100 = 50

On solving the above equation, we get r = 5%

Now, if Deepak invested the total sum of Rs 4800 in simple interest for 8 years at the same rate of interest, then the interest obtained becomes equal to the investment.

Simple Interest for 8 years with a rate of interest of 5%:
Principal = Rs 4800, Time = 8 years, Rate = 5%
SI = (P*r*t)/100
SI = (4800*5*8)/100
SI = Rs 1920

Let us assume Deepak invested ‘x’ in scheme B. Therefore, he invested ‘4800-x’ in scheme A.

Share in Scheme B:
Principal = x, Time = 8 years, Rate = 5%
SI = (P*r*t)/100
SI = (x*5*8)/100
SI = 0.4x

Now, we know that the total interest obtained is Rs 1920.
Therefore,
0.4x + 4800 - x = 1920
0.6x = 2880
x = 4800/3

Hence, Deepak invested Rs 1600 in scheme B and Rs 3200 in scheme A.
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Deepak invested rs 4800 into two schemes a and b at same rate of interest. but compond interest obtained from scheme a in two years is rs 50 more then the simple interest obtained in scheme b i 4 years, if deepak invested total sum at simple intest for 8years at same rate of intrest then intrest obtined becomes equal to the investment find share in scheme in scheme b?
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Deepak invested rs 4800 into two schemes a and b at same rate of interest. but compond interest obtained from scheme a in two years is rs 50 more then the simple interest obtained in scheme b i 4 years, if deepak invested total sum at simple intest for 8years at same rate of intrest then intrest obtined becomes equal to the investment find share in scheme in scheme b? 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 Deepak invested rs 4800 into two schemes a and b at same rate of interest. but compond interest obtained from scheme a in two years is rs 50 more then the simple interest obtained in scheme b i 4 years, if deepak invested total sum at simple intest for 8years at same rate of intrest then intrest obtined becomes equal to the investment find share in scheme in scheme b? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Deepak invested rs 4800 into two schemes a and b at same rate of interest. but compond interest obtained from scheme a in two years is rs 50 more then the simple interest obtained in scheme b i 4 years, if deepak invested total sum at simple intest for 8years at same rate of intrest then intrest obtined becomes equal to the investment find share in scheme in scheme b?.
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