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Fixed total split between two SI rates: a part from the total interest (or the interest difference)

This type of question, asked 9 times: 14 Jul 2023 S3, 25 Jul 2023 S4, 10 Sep 2024 S1, 18 Sep 2024 S2, 13 Sep 2025 S3, 17 Sep 2025 S1, 17 Sep 2025 S3, 18 Sep 2025 S2, 24 Sep 2025 S1. All 10 questions below, oldest first.

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  1. Question 1

    14 Jul 2023 S3

    65
    A man invests a total sum of ₹10,000 in a company. A part of the sum was invested at 10%10\% simple interest per annum and the remaining part at 15%15\% simple interest per annum. If the total interest accrued to him in two years equals ₹2,400, the sum invested at 15%15\% simple interest per annum is:

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  2. Question 2

    25 Jul 2023 S4

    58
    S deposits a total of ₹50,000 in two accounts which give 8%8\% and 12%12\% simple interest annually, respectively. After one year, he gets a total ₹5,200. How much money does he deposit in the account with a 12%12\% interest rate?

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  3. Question 3

    10 Sep 2024 S1

    52
    Kiran lent ₹4,000 to two persons such that one part of it at the rate of 8%8\% per annum and the remaining part at the rate of 10%10\% per annum. He got an annual simple interest of ₹352. Then the sum lent at 10%10\% is:

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  4. Question 4

    18 Sep 2024 S2

    70
    A total of ₹2,00,000 is divided into two parts for investing in different banks on simple interest. One yields 4%4\% p.a. while the other yields 6%6\% p.a. If the total interest at the end of one year is equivalent to 4.7%4.7\% p.a. on the whole amount, the amount (in ₹) invested in each bank is ________, respectively.

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  5. Question 5

    13 Sep 2025 S3

    69
    A person invested ₹18,000 in two schemes — Scheme X at 15%15\% p.a. and Scheme Y at 10%10\% p.a., both under simple interest. After 11 year, the total interest from both schemes was ₹2,160. How much was invested in Scheme X?

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  6. Question 6

    17 Sep 2025 S1

    57
    A sum of ₹10000 is lent out in two parts, one at 7%7\% simple interest and the other at 12%12\% simple interest. If the annual interest is ₹900, the sum lent at 12%12\% is:

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  7. Question 7

    17 Sep 2025 S3

    57
    A sum of ₹5000 is lent out in two parts, one at 6%6\% simple interest and the other at 9%9\% simple interest. If the annual interest is ₹390, the sum lent at 6%6\% is:

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  8. Question 8

    17 Sep 2025 S3

    58
    A man has ₹15,000. He lends a part of it to X for 3 years at 10%10\% simple interest and the remaining to Y for 3 years at 12%12\% simple interest. If the total interest received from both X and Y after 3 years is ₹4,950, find the amount lent to X.

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  9. Question 9

    18 Sep 2025 S2

    58
    A person invested ₹20,000 in two different schemes. He invested one part for 4 years at 8%8\% simple interest and the other part for the same duration at 10%10\% simple interest. If the interest earned from the second part was ₹2,240 more than the interest earned from the first part, how much money was invested in the second scheme?

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  10. Question 10

    24 Sep 2025 S1

    52
    A sum of ₹8000 is lent out in two parts, one at 5%5\% simple interest and the other at 7%7\% simple interest. If the annual interest is ₹500, the sum lent at 7%7\% is:

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