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Continuous compounding of money

This type of question, asked 4 times: 14 May 2024 S1, 19 Apr 2025 S1, 19 Apr 2025 S2, 20 Apr 2025 S1. All 4 questions below, oldest first.

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  1. Question 1

    14 May 2024 S1

    104
    The money invested in a company is compounded continuously. If Rs. 200 invested today becomes Rs. 400 in 6 years, then at the end of 33 years it will become Rs.

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  2. Question 2

    19 Apr 2025 S1

    118
    In a bank, the principal increases continuously at a rate of x%x\% per year. Then the rate xx, if ₹100 double itself in 10 years, is ( log⁡2=0.6931\log2 = 0.6931)

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  3. Question 3

    19 Apr 2025 S2

    126
    The principal increases continuously in a newly opened bank at the rate of 10%10\% per year. An amount of Rs. 2000 is deposited with this bank. How much will it become after 5 years? ( e0.5=1.648e^{0.5}= 1.648 )

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  4. Question 4

    20 Apr 2025 S1

    131
    The money invested in a company is compounded continuously. ₹ 400 invested today becomes ₹800 in 6 years, then at the end of 33 years, it will become. (2=1.4142)(\sqrt{2}= 1.4142)

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