PYQ Vault

Several deposits with known amounts or links, total SI given: unknown rate, time or sum

This type of question, asked 8 times: 14 Jul 2023 S2, 17 Jul 2023 S1, 9 Sep 2024 S3, 19 Sep 2024 S1, 24 Sep 2024 S3, 12 Sep 2025 S3, 17 Sep 2025 S1, 19 Sep 2025 S2. All 8 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S2

    73
    If the simple interest at the same interest rate on ₹500 for 4 years and ₹700 for 2 years, combined together, is ₹280, then what is the rate of interest?

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  2. Question 2

    17 Jul 2023 S1

    61
    A person deposited ₹500 for 3 years, ₹650 for 5 years, and ₹1,250 for 7 years. He received a total simple interest of ₹1,620. The rate of interest per annum is:

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  3. Question 3

    9 Sep 2024 S3

    68
    Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5%5\% per annum and ₹6,000 in other bank at the rate of 6%6\% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest of the capital is equal to:

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  4. Question 4

    19 Sep 2024 S1

    69
    Aman invested a sum of money in scheme A at the rate of 8%8\% p.a. for a period of 5 years on simple interest. He invested four times of the sum of scheme A in scheme B at the rate of 5%5\% p.a. for 7 years on simple interest. He received a total interest amount of ₹1,620. How much (in ₹) did he invest in scheme B?

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  5. Question 5

    24 Sep 2024 S3

    62
    Ramu lent ₹3,000 to Raju and a certain sum to Ravi at the same time and at the same rate of simple interest of 8% per annum. After 5 years, he received a sum of ₹1,600 from Raju and Ravi together as interest. Find the sum lent to Ravi.

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  6. Question 6

    12 Sep 2025 S3

    70
    A lent Rs. 5000 to B for a duration of 2 years and Rs. 3000 to C for a period of 4 years both at the same simple interest rate. In total, he received Rs. 2200 as interest from both borrowers. What is the rate of interest per annum?

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  7. Question 7

    17 Sep 2025 S1

    58
    Rs. 900 is lent at a certain rate of simple interest. After 9 months, another Rs. 600 is lent at a rate that is 1.5 times the original rate. If the total simple interest after 1 year is Rs. 72, find the original rate.

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  8. Question 8

    19 Sep 2025 S2

    59
    A person invested ₹8,000 in one scheme at 6%6\% simple interest and ₹5,000 in another scheme at 8%8\% simple interest for the same duration. If he received a total interest of ₹1,760 from both investments, what was the duration (time period) of the investments?

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