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 Mr. X invests Rs.90,500 in post office at 7.5% p.a. simple interest. While calculating the rate was wrongly taken as 5.7% p.a.The difference in amounts at maturity is Rs.9,774. Find the period for which the sum was invested
  • a)
    7 years 
  • b)
    5.8 years 
  • c)
    6 years 
  • d)
    8 years
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Mr. X invests Rs.90,500 in post office at 7.5% p.a. simple interest. W...
Given:
Principal amount (P) = Rs.90,500
Rate of interest (R1) = 7.5%
Incorrectly taken rate of interest (R2) = 5.7%
Difference in amount at maturity (D) = Rs.9,774

Let the time period be 't' years.

Formula:
Simple Interest (SI) = (P * R * t) / 100

Calculation:
Using the formula for SI, we can calculate the amounts at maturity with correct and incorrect rates of interest as follows:

Amount with correct rate of interest = P + SI = P + (P * R1 * t) / 100
Amount with incorrect rate of interest = P + SI = P + (P * R2 * t) / 100

Given, the difference in amounts at maturity is Rs.9,774.

So, we can form the equation as follows:
(P + (P * R1 * t) / 100) - (P + (P * R2 * t) / 100) = D

Simplifying this equation, we get:
(P * (R1 - R2) * t) / 100 = D
(P * (7.5 - 5.7) * t) / 100 = 9,774
P * 1.8 * t / 100 = 9,774
t = (9,774 * 100) / (P * 1.8)
t = (9,774 * 100) / (90,500 * 1.8)
t = 6 years

Therefore, the period for which the sum was invested is 6 years. Hence, option (c) is the correct answer.
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Community Answer
Mr. X invests Rs.90,500 in post office at 7.5% p.a. simple interest. W...
Let t as 6 ,
put the values in S.I formula.

s.i= 90500×75×6/100= 407250.

s.i=90500×54×6/100=309510.

now, diff is 9774 (given)which is equal to 407250-309510=9774.

so t= 6 is correct option.
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Mr. X invests Rs.90,500 in post office at 7.5% p.a. simple interest. While calculating the rate was wrongly taken as 5.7% p.a.The difference in amounts at maturity is Rs.9,774. Find the period for which the sum was investeda)7 yearsb)5.8 yearsc)6 yearsd)8 yearsCorrect answer is option 'C'. Can you explain this answer?
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Mr. X invests Rs.90,500 in post office at 7.5% p.a. simple interest. While calculating the rate was wrongly taken as 5.7% p.a.The difference in amounts at maturity is Rs.9,774. Find the period for which the sum was investeda)7 yearsb)5.8 yearsc)6 yearsd)8 yearsCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Mr. X invests Rs.90,500 in post office at 7.5% p.a. simple interest. While calculating the rate was wrongly taken as 5.7% p.a.The difference in amounts at maturity is Rs.9,774. Find the period for which the sum was investeda)7 yearsb)5.8 yearsc)6 yearsd)8 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. X invests Rs.90,500 in post office at 7.5% p.a. simple interest. While calculating the rate was wrongly taken as 5.7% p.a.The difference in amounts at maturity is Rs.9,774. Find the period for which the sum was investeda)7 yearsb)5.8 yearsc)6 yearsd)8 yearsCorrect answer is option 'C'. Can you explain this answer?.
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