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Vivek invests Rs 15000 as fixed deposit at a bank at the rate of 10% per annum SI. But due to some pressing needs he has to withdraw the entire money after 5 years, for which the bank allowed him a lower rate of interest. If he gets Rs 8250 less than what he would have got at the end of 10 years, the rate of interest allowed by the bank is
  • a)
    8%
  • b)
    8.5%
  • c)
    9%
  • d)
    9.5%
  • e)
    10%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Vivek invests Rs 15000 as fixed deposit at a bank at the rate of 10% p...
Answer –C.9% Explanation : P=15000, T1=10 years, T2=5 years, R1=10%, R2=? [(15000*10*10)/100 – (15000*R2*5)/100] = 8250
15000 – 750R2 = 8250
R2 = 9%
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Most Upvoted Answer
Vivek invests Rs 15000 as fixed deposit at a bank at the rate of 10% p...
Answer –C.9% Explanation : P=15000, T1=10 years, T2=5 years, R1=10%, R2=? [(15000*10*10)/100 – (15000*R2*5)/100] = 8250
15000 – 750R2 = 8250
R2 = 9%
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Community Answer
Vivek invests Rs 15000 as fixed deposit at a bank at the rate of 10% p...
Solution:
Let's break down the problem step by step:

Given data:
Principal amount (P) = Rs 15000
Rate of interest (R) = 10% per annum
Time (T) = 5 years

Let's calculate the Simple Interest (SI) that Vivek would have received after 5 years at the rate of 10% per annum:

SI = (P * R * T) / 100
SI = (15000 * 10 * 5) / 100
SI = 75000 / 100
SI = Rs 7500

Now, let's assume the rate of interest allowed by the bank after 5 years is 'x%'. We need to calculate 'x'.

According to the question, Vivek gets Rs 8250 less than what he would have got at the end of 10 years. So, the SI after 10 years at the rate of 10% per annum would be:

SI = (P * R * T) / 100
SI = (15000 * 10 * 10) / 100
SI = 150000 / 100
SI = Rs 15000

The SI Vivek actually received after 5 years at the lower rate of interest is Rs 8250 less than what he would have received after 10 years at the rate of 10% per annum. So, we can write the equation:

SI at the lower rate of interest = SI at the rate of 10% per annum - Rs 8250
SI at the lower rate of interest = Rs 15000 - Rs 8250
SI at the lower rate of interest = Rs 6750

Now, let's substitute the values of SI, P, R, and T into the formula for calculating SI:

SI = (P * R * T) / 100
6750 = (15000 * x * 5) / 100
6750 = (150 * x * 5) / 1
6750 * 1 = 150 * x * 5
6750 = 750 * x
x = 6750 / 750
x = 9

Therefore, the rate of interest allowed by the bank is 9%. So, the correct answer is option C) 9%.
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Vivek invests Rs 15000 as fixed deposit at a bank at the rate of 10% per annum SI. But due to some pressing needs he has to withdraw the entire money after 5 years, for which the bank allowed him a lower rate of interest. If he gets Rs 8250 less than what he would have got at the end of 10 years, the rate of interest allowed by the bank isa)8%b)8.5%c)9%d)9.5%e)10%Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Vivek invests Rs 15000 as fixed deposit at a bank at the rate of 10% per annum SI. But due to some pressing needs he has to withdraw the entire money after 5 years, for which the bank allowed him a lower rate of interest. If he gets Rs 8250 less than what he would have got at the end of 10 years, the rate of interest allowed by the bank isa)8%b)8.5%c)9%d)9.5%e)10%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vivek invests Rs 15000 as fixed deposit at a bank at the rate of 10% per annum SI. But due to some pressing needs he has to withdraw the entire money after 5 years, for which the bank allowed him a lower rate of interest. If he gets Rs 8250 less than what he would have got at the end of 10 years, the rate of interest allowed by the bank isa)8%b)8.5%c)9%d)9.5%e)10%Correct answer is option 'C'. Can you explain this answer?.
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