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Quiz: Simple Interest

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Number of Questions: 20

Question: 16 -

A person lent Rs.5,000 partly at the rate of 4 per cent and partly at the rate of 5 per cent per annum simple interest. The total interest after 2 years is Rs.440. To find the sum of money lent at each of the above rates, Rs.5,000 is to be divided in the ratio :

Options:

  1. 3 : 2

  2. 4 : 5

  3. 2 : 3

  4. 5 : 4

    5. Answer:

    3 : 2
    Solution:

    Let the sum of x be lent at the rate of 4% and (5000 - x) at the rate of 5%

    ((x×4×2)/100)+((5000−x)×5×2)/100 = 440

    8x + 50000 - 10x = 44000

    2x = 50000 - 44000 = 6000

    x = Rs.3000

    Rs.(5000 - x) = Rs.(5000 - 3000) = Rs.2000

    Now, Required ratio

    = 3000 : 2000 = 3 : 2

Question: 17 -

In what time Rs. 6000 will give interest of Rs. 720 at the rate of 6% p.a. S.I.?

Options:

  1. 2.5 years

  2. 1.5 years

  3. 2 years

  4. 3 years

    5. Answer:

    2 years
    Solution:

    Principal = Rs. 6000

    Interest = Rs. 720

    Rate of interest = 6%

    Time or number of years =?

    Apti Simple interest13

Question: 18 -

In a certain time, the ratio of a certain principal and the simple interest obtained from it are in the ratio 10 : 3 at 10% interest per annum. The number of years the money was invested is

Options:

  1. 5 years

  2. 1 year

  3. 3 years

  4. 7 years

    5. Answer:

    3 years
    Solution:

    Time = S.I. × 100/Principal × Rate

    = 3/10×100/10 = 3 years

Question: 19 -

In how many years the simple interest on Rs. 6000 at 10% rate of interest S.I will become Rs. 1800?

Options:

  1. 3.5 months

  2. 4 months

  3. 3 months

  4. 4.5 months

    5. Answer:

    3 months
    Solution:

    Principal = Rs. 6000

    Simple Interest = Rs. 1800

    Rate of interest = 10%

    Number of years or time =?

    Apti Simple interest11

Question: 20 -

A sum invested at the rate of interest 5% S.I grows to Rs. 5400 in 4 years. The same amount in 3 years at the rate of 10% per annum S.I will grow to

Options:

  1. Rs. 5700

  2. Rs. 5750

  3. Rs. 5850

  4. Rs. 5800

    5. Answer:

    Rs. 5850
    Solution:

    Let the sum be Rs. X

    Amount = Rs. 5400

    Number of years = 4

    Rate of interest = 5%

    Apti Simple interest14

    R = 10%

    T = 3 years

    P= Rs. 4500

    Apti Simple interest15