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Simple Interest Questions Answers

  • 15. A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is the principal amount

    1. 1000
    2. 1500
    3. 2000
    4. 2500
    Answer And Explanation

    Answer: Option C

    Explanation:


    SI for 3 year = 2600-2240 = 360
    SI for 2 year 360/3 * 2 = 240
    principal = 2240 - 240 = 2000

  • 16. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years

    1. 1%
    2. 2%
    3. 3%
    4. 4%
    Answer And Explanation

    Answer: Option D

    Explanation:

    Let sum = x
    Time = 10 years.
    S.I = 2x /5, [as per question]
    Rate =( (100 * 2x) / (x*5*10))%
    => Rate = 4%

  • 17. Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.

    1. Rs 1052
    2. Rs 1152
    3. Rs 1252
    4. Rs 1352
    Answer And Explanation

    Answer: Option A

    Explanation:

    S.I. = 956 - 800 = Rs 156

    \begin{aligned}
    R = \frac{156*100}{800*3} \\
    R = 6\frac{1}{2}\% \\

    \text{ New Rate = }6\frac{1}{2}+4 \\
    = \frac{21}{2} \% \\

    \text{ New S.I. = }800\times\frac{21}{2}\times{3}{100} \\
    = 252
    \end{aligned}

    Now amount will be 800 + 252 = 1052

  • 18. In how many years Rs 150 will produce the same interest at 8% as Rs. 800 produce in 3 years at 9/2%

    1. 8
    2. 9
    3. 10
    4. 11
    Answer And Explanation

    Answer: Option B

    Explanation:

    Clue:
    Firstly we need to calculate the SI with prinical 800,Time 3 years and Rate 9/2%, it will be Rs. 108

    Then we can get the Time as

    Time = (100*108)/(150*8) = 9

  • 19. What will the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years.

    1. 1:2
    2. 2:1
    3. 2:2
    4. 2:3
    Answer And Explanation

    Answer: Option D

    Explanation:

    Let the principal be P and rate be R

    then

    \begin{aligned}
    \text{ratio = } [\frac{(\frac{P*R*6}{100})}{(\frac{P*R*9}{100})}] \\

    = \frac{6PR}{9PR} = 2:3
    \end{aligned}

  • 20. A financier claims to be lending money at simple interest, But he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes.

    1. 10.25%
    2. 10%
    3. 9.25%
    4. 9%
    Answer And Explanation

    Answer: Option A

    Explanation:

    Let the sum is 100.

    As financier includes interest every six months., then we will calculate SI for 6 months, then again for six months as below:

    SI for first Six Months = (100*10*1)/(100*2) = Rs. 5

    Important: now sum will become 100+5 = 105

    SI for last Six Months = (105*10*1)/(100*2) = Rs. 5.25

    So amount at the end of year will be (100+5+5.25)
    = 110.25

    Effective rate = 110.25 - 100 = 10.25

  • 21. A sum of money amounts to Rs 9800 after 5 years and Rs 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is

    1. 9%
    2. 10%
    3. 11%
    4. 12%
    Answer And Explanation

    Answer: Option D

    Explanation:

    We can get SI of 3 years = 12005 - 9800 = 2205

    SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

    Principal = 12005 - 3675 = 6125

    So Rate = (100*3675)/(6125*5) = 12%

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