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Several sums lent at simple interest with a known total: find the missing amount, rate or time

This type of question, asked 3 times: CDS 1 2019, CDS 1 2022, CDS 1 2026. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2019

    20
    AA lent Rs. 25000 to BB and at the same time lent some amount to CC at same 7% simple interest. After 4 years AA received Rs. 11200 as interest from BB and CC. How much did AA lend to CC ?

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  2. Question 2

    CDS 1 2022

    33
    A person borrowed Rs. 9,000 at 7%, Rs. 12,000 at 8% and Rs. 15,000 at 9% simple interest per annum. He had to pay Rs. 50,700 at the end of nn years. What is the value of nn ?

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  3. Question 3 (case study, 2 parts)

    CDS 1 2026

    For the next two (02) items that follow : A person borrows a sum of Rs. 16,000 on simple interest at the beginning of a year. After 4 months, Rs. 24,000 more is borrowed at a rate of interest double the previous one. At the end of the year, the total interest on both the loans is Rs. 4800.
    89
    What is the initial rate of interest per annum ?

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    90
    What is the ratio of the interest on the first loan to the interest on the second loan ?

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