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Kiran Bora
Asked: 2022-11-10T23:29:07+05:30 In:

What will be the sum on which the rate of interest is 4% per annum for the first 2 yr, 6% per annum for the next 4 yr and 8% per annum for the period beyond 6 yr. if the simple interest accrued by the sum for a total period of 9 yr is Rs. 4480?
1. 7200
2. 12400
3. 9220
4. 11800
5. 8000

What will be the sum on which the rate of interest is 4% per annum for the first 2 yr, 6% per annum for the next 4 yr and 8% per annum for the period beyond 6 yr. if the simple interest accrued by the sum for a total period of 9 yr is Rs. 4480?
1. 7200
2. 12400
3. 9220
4. 11800
5. 8000
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  1. Correct Answer – Option 5 : 8000

    GIVEN:

    For the first 2 years, r = 4% per annum, t = 2 years

    next 4 years, r = 6% per annum, t = 4 years

    next 3 years, r = 8% per annum, t = 3 years

     FORMULAE USED:

    SI = (p × r × t)/100

    CALCULATION:

     the simple interest for the first 2 years = (p × 4 × 2)/100 = 2p/25

    the simple interest for the next 4 years = (p × 6 × 4)/100 = 6p/25

    And then, for the 

     the simple interest for the next 3 years = (p × 8 × 3)/100 = 6p/25

    ⇒ Total interest = (2p/25) + (6p/25) + (6p/25) = 14p/25

    So, 14p/25 = 4480

    ⇒ p = Rs. 8000

    Hence, the principal amount is Rs. 8000

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