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A man invested Rs. 80000 in a bond which gives 10% p.a interest compounded half yearly. If the annual rate of interest is increased by 20% at the end of every half year. What will be the interest earned (in Rs.) for one and a half years?
Correct answer is '40750'. Can you explain this answer?
Most Upvoted Answer
A man invested Rs. 80000 in a bond which gives 10% p.a interest compo...
Given data:
- Principal (P) = Rs. 80000
- Rate of interest (r) = 10% p.a compounded half yearly
- Time (t) = 1.5 years

Calculation:
Let's first calculate the interest earned for the first six months.

- Half-yearly rate of interest (r/2) = 10/2 = 5%
- Interest earned in the first six months = P*(1 + r/2)^2 - P = 80000*(1 + 5/100)^2 - 80000 = Rs. 4200

Now, the annual rate of interest is increased by 20% at the end of every half year. So, the rate for the next six months will be:

- New half-yearly rate of interest = 5% + 20% of 5% = 6%
- Interest earned for the next six months = P*(1 + r/2)^2 - P = 80000*(1 + 6/100)^2 - 80000 = Rs. 4416

Similarly, for the last six months, the rate of interest will be:

- New half-yearly rate of interest = 6% + 20% of 6% = 7.2%
- Interest earned for the last six months = P*(1 + r/2)^2 - P = 80000*(1 + 7.2/100)^2 - 80000 = Rs. 47134.08

So, the total interest earned for 1.5 years will be:

- Total interest earned = Rs. 4200 + Rs. 4416 + Rs. 47134.08 = Rs. 40750.08 (approx.)

Therefore, the interest earned (in Rs.) for one and a half years is Rs. 40750.
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Community Answer
A man invested Rs. 80000 in a bond which gives 10% p.a interest compo...
As the rate of interest is increasing by 20% annually, the rate of interest per half year increased by 10% over previous year.
The required interest that has been accrued is 40,750
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A man invested Rs. 80000 in a bond which gives 10% p.a interest compounded half yearly. If the annual rate of interest is increased by 20% at the end of every half year. What will be the interest earned (in Rs.) for one and a half years?Correct answer is '40750'. Can you explain this answer?
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A man invested Rs. 80000 in a bond which gives 10% p.a interest compounded half yearly. If the annual rate of interest is increased by 20% at the end of every half year. What will be the interest earned (in Rs.) for one and a half years?Correct answer is '40750'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man invested Rs. 80000 in a bond which gives 10% p.a interest compounded half yearly. If the annual rate of interest is increased by 20% at the end of every half year. What will be the interest earned (in Rs.) for one and a half years?Correct answer is '40750'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man invested Rs. 80000 in a bond which gives 10% p.a interest compounded half yearly. If the annual rate of interest is increased by 20% at the end of every half year. What will be the interest earned (in Rs.) for one and a half years?Correct answer is '40750'. Can you explain this answer?.
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