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Simple Interest Test 6
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Simple Interest Test 6
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  • Question 1/10
    1 / -0

    A Principal amount give Rs.12750 as SI for 7 years at the rate of 10% to get the same amount of interest of 10 years, what will be the rate of interest ?

    Solutions

    Explanation :

    SI = PNR/100

    =  12750*7*10/100 = 8925

    SI = 8925

    R = 8925*100/12750*10 = 7

     

  • Question 2/10
    1 / -0

    Vithya gave Rs.20000/- to Priya for 5 years and Rs.30000/- to Vijay for 2  years. If the rate of interests is the same and she received Rs.12800- as SI from both. What is the rate of interest?

    Solutions

    Explanation :

    20000*5*R/100 + 30000*2*R/100 = 12800

    1600R = 12800

    R = 12800/1600 = 8

     

  • Question 3/10
    1 / -0

    The difference between CI and SI on the same sum for 2 yrs at the rate of 25% pa is Rs.1500. What is the principal lent out in each case ?

    Solutions

    Explanation :

    P(r/100)2 = 1500

    P(25/100) 2 = 1500

    P*1/16 = 1500

    P = 1500*16 = 24000

     

  • Question 4/10
    1 / -0

    A man took a certain sum as loan from bank at a rate of 9% SI per annum. The  man lends the same amount to another person  at 15% SI per annum. If at the end of 4 years man made a profit of Rs. 9000 from the deal. What was the original sum ?

    Solutions

    Explanation :

    P*15*4/100 – P*9*4/100 = 9000

    60P – 36P/100 = 9000

    24P= 900000

    P = 37500

     

  • Question 5/10
    1 / -0

    If the difference between CI and SI earned on a certain amount at 15% pa at the end of 3 years is Rs.3200, find out the principal.

    Solutions

    Explanation :

    Sum = D*1003/r2(300+r)

    S = 3200*1003/152(300+15)

    S = 3200*100*100*100/225*315

    = 45149.9 = 45150

     

  • Question 6/10
    1 / -0

    What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 12 Years?

    Solutions

    Explanation :

    PR8/100 : PR12/100 = 8PR :12PR

    8:12 = 2:3

     

  • Question 7/10
    1 / -0

    At what rate per cent per annum will be simple interest on a sum of money be 3/5 of the Principal amount in 6 years?

    Solutions

    Explanation :

    P =X, SI = 3/5x

    R = (3x/5 *100)/x*6

    = 10%

     

  • Question 8/10
    1 / -0

    A sum of money becomes 7/4 of itself in 5years at a certain rate of interest. What is the rate of interest?

    Solutions

    Explanation :

    SI = 7/4x – 1 = x(7– 4)/4 = 3x/4

    R = 3x/4*100/x*5 = 300/20 = 15%

     

  • Question 9/10
    1 / -0

    A sum of money lent out at SI amount to Rs.7000 after 2 years  and Rs.14000 after   a further period of 5yrs. Find the principal ?

    Solutions

    Explanation :

    SI for 5 yrs = 14000(7yr) – 7000(2yr) = 7000

    SI for 2 yrs = 7000*2/5 = 2800

    P = 7000 – 2800 =4200

     

  • Question 10/10
    1 / -0

    In what time will Rs.3500 become Rs. 4700 at 4(1/5)%pa SI ?

    Solutions

    Explanation :

    SI = 4700 – 3500 = 1200

    R = 21/5%

    SI = PNR/100

    1200 = 3500*21*N/100*5

    Explanation :
    SI = 4700 – 3500 = 1200
    R = 21/5%
    SI = PNR/100
    1200 = 3500*21*N/100*5
    N = 1200*100*5/3500*21 = 8.16 = 8yrs
    N = 1200*100*5/3500*21 = 8.16 = 8yrs

     

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